diff --git a/tensorflow_addons/losses/BUILD b/tensorflow_addons/losses/BUILD
index 927f821fe2..c97351f0e4 100644
--- a/tensorflow_addons/losses/BUILD
+++ b/tensorflow_addons/losses/BUILD
@@ -8,6 +8,7 @@ py_library(
         "__init__.py",
         "contrastive.py",
         "focal_loss.py",
+        "giou_loss.py",
         "lifted.py",
         "metric_learning.py",
         "npairs.py",
@@ -47,6 +48,19 @@ py_test(
     ],
 )
 
+py_test(
+    name = "giou_loss_test",
+    size = "small",
+    srcs = [
+        "giou_loss_test.py",
+    ],
+    main = "giou_loss_test.py",
+    srcs_version = "PY2AND3",
+    deps = [
+        ":losses",
+    ],
+)
+
 py_test(
     name = "npairs_test",
     size = "small",
diff --git a/tensorflow_addons/losses/README.md b/tensorflow_addons/losses/README.md
index ab54fef1bf..2b40ad2f5e 100644
--- a/tensorflow_addons/losses/README.md
+++ b/tensorflow_addons/losses/README.md
@@ -5,6 +5,7 @@
 |:---------- |:----------- |:------------- |
 | contrastive |  @WindQAQ | windqaq@gmail.com |
 | focal_loss | @SSaishruthi  | saishruthi.tn@gmail.com |
+| giou_loss | @fsx950223  | fsx950223@gmail.com |
 | lifted | @rahulunair | rahulunair@gmail.com  |
 | npairs | @WindQAQ | windqaq@gmail.com |
 | sparsemax_loss | @AndreasMadsen | amwwebdk+github@gmail.com |
@@ -15,6 +16,7 @@
 |:----------------------- |:---------------------|:--------------------------|
 | contrastive | ContrastiveLoss | http://yann.lecun.com/exdb/publis/pdf/hadsell-chopra-lecun-06.pdf |
 | focal_loss | SigmoidFocalCrossEntropy | https://arxiv.org/abs/1708.02002  |
+| giou_loss | GIoULoss | https://giou.stanford.edu/GIoU.pdf       |
 | lifted | LiftedStructLoss | https://arxiv.org/abs/1511.06452       |
 | npairs | NpairsLoss | http://www.nec-labs.com/uploads/images/Department-Images/MediaAnalytics/papers/nips16_npairmetriclearning.pdf |
 | npairs | NpairsMultilabelLoss | http://www.nec-labs.com/uploads/images/Department-Images/MediaAnalytics/papers/nips16_npairmetriclearning.pdf |
diff --git a/tensorflow_addons/losses/__init__.py b/tensorflow_addons/losses/__init__.py
index ff8e5094fa..7aa292527f 100644
--- a/tensorflow_addons/losses/__init__.py
+++ b/tensorflow_addons/losses/__init__.py
@@ -20,6 +20,7 @@
 
 from tensorflow_addons.losses.contrastive import contrastive_loss, ContrastiveLoss
 from tensorflow_addons.losses.focal_loss import sigmoid_focal_crossentropy, SigmoidFocalCrossEntropy
+from tensorflow_addons.losses.giou_loss import giou_loss, GIoULoss
 from tensorflow_addons.losses.lifted import lifted_struct_loss, LiftedStructLoss
 from tensorflow_addons.losses.npairs import npairs_loss, NpairsLoss, npairs_multilabel_loss, NpairsMultilabelLoss
 from tensorflow_addons.losses.sparsemax_loss import sparsemax_loss, SparsemaxLoss
diff --git a/tensorflow_addons/losses/giou_loss.py b/tensorflow_addons/losses/giou_loss.py
new file mode 100644
index 0000000000..e864528ec2
--- /dev/null
+++ b/tensorflow_addons/losses/giou_loss.py
@@ -0,0 +1,141 @@
+# Copyright 2019 The TensorFlow Authors. All Rights Reserved.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+# ==============================================================================
+"""Implements GIoU loss."""
+
+from __future__ import absolute_import
+from __future__ import division
+from __future__ import print_function
+
+import tensorflow as tf
+
+
+@tf.keras.utils.register_keras_serializable(package='Addons')
+class GIoULoss(tf.keras.losses.Loss):
+    """Implements the GIoU loss function.
+
+    GIoU loss was first introduced in the
+    [Generalized Intersection over Union:
+    A Metric and A Loss for Bounding Box Regression]
+    (https://giou.stanford.edu/GIoU.pdf).
+    GIoU is an enhancement for models which use IoU in object detection.
+
+    Usage:
+
+    ```python
+    gl = tfa.losses.GIoU()
+    boxes1 = tf.constant([[4.0, 3.0, 7.0, 5.0], [5.0, 6.0, 10.0, 7.0]])
+    boxes2 = tf.constant([[3.0, 4.0, 6.0, 8.0], [14.0, 14.0, 15.0, 15.0]])
+    loss = gl(boxes1, boxes2)
+    print('Loss: ', loss.numpy())  # Loss: [1.07500000298023224, 1.9333333373069763]
+    ```
+    Usage with tf.keras API:
+
+    ```python
+    model = tf.keras.Model(inputs, outputs)
+    model.compile('sgd', loss=tfa.losses.GIoULoss())
+    ```
+
+    Args:
+      mode: one of ['giou', 'iou'], decided to calculate GIoU or IoU loss.
+    """
+
+    def __init__(self,
+                 mode='giou',
+                 reduction=tf.keras.losses.Reduction.AUTO,
+                 name='giou_loss'):
+        if mode not in ['giou', 'iou']:
+            raise ValueError("Value of mode should be 'iou' or 'giou'")
+        super(GIoULoss, self).__init__(name=name, reduction=reduction)
+        self.mode = mode
+
+    def get_config(self):
+        base_config = super(GIoULoss, self).get_config()
+        base_config['mode'] = self.mode
+        return base_config
+
+    def call(self, y_true, y_pred):
+        return giou_loss(y_true, y_pred, mode=self.mode)
+
+
+@tf.keras.utils.register_keras_serializable(package='Addons')
+@tf.function
+def giou_loss(y_true, y_pred, mode='giou'):
+    """
+    Args:
+        y_true: true targets tensor. The coordinates of the each bounding
+            box in boxes are encoded as [y_min, x_min, y_max, x_max].
+        y_pred: predictions tensor. The coordinates of the each bounding
+            box in boxes are encoded as [y_min, x_min, y_max, x_max].
+        mode: one of ['giou', 'iou'], decided to calculate GIoU or IoU loss.
+
+    Returns:
+        GIoU loss float `Tensor`.
+    """
+    if mode not in ['giou', 'iou']:
+        raise ValueError("Value of mode should be 'iou' or 'giou'")
+    y_pred = tf.convert_to_tensor(y_pred)
+    if not y_pred.dtype.is_floating:
+        y_pred = tf.cast(y_pred, tf.float32)
+    y_true = tf.cast(y_true, y_pred.dtype)
+    giou = _calculate_giou(y_pred, y_true, mode)
+
+    return 1 - giou
+
+
+def _calculate_giou(b1, b2, mode='giou'):
+    """
+    Args:
+        b1: bounding box. The coordinates of the each bounding box in boxes are
+            encoded as [y_min, x_min, y_max, x_max].
+        b2: the other bounding box. The coordinates of the each bounding box
+            in boxes are encoded as [y_min, x_min, y_max, x_max].
+        mode: one of ['giou', 'iou'], decided to calculate GIoU or IoU loss.
+
+    Returns:
+        GIoU loss float `Tensor`.
+    """
+    zero = tf.convert_to_tensor(0., b1.dtype)
+    b1_ymin, b1_xmin, b1_ymax, b1_xmax = tf.unstack(b1, 4, axis=-1)
+    b2_ymin, b2_xmin, b2_ymax, b2_xmax = tf.unstack(b2, 4, axis=-1)
+    b1_width = tf.maximum(zero, b1_xmax - b1_xmin)
+    b1_height = tf.maximum(zero, b1_ymax - b1_ymin)
+    b2_width = tf.maximum(zero, b2_xmax - b2_xmin)
+    b2_height = tf.maximum(zero, b2_ymax - b2_ymin)
+    b1_area = b1_width * b1_height
+    b2_area = b2_width * b2_height
+
+    intersect_ymin = tf.maximum(b1_ymin, b2_ymin)
+    intersect_xmin = tf.maximum(b1_xmin, b2_xmin)
+    intersect_ymax = tf.minimum(b1_ymax, b2_ymax)
+    intersect_xmax = tf.minimum(b1_xmax, b2_xmax)
+    intersect_width = tf.maximum(zero, intersect_xmax - intersect_xmin)
+    intersect_height = tf.maximum(zero, intersect_ymax - intersect_ymin)
+    intersect_area = intersect_width * intersect_height
+
+    union_area = b1_area + b2_area - intersect_area
+    iou = tf.math.divide_no_nan(intersect_area, union_area)
+    if mode == 'iou':
+        return iou
+
+    enclose_ymin = tf.minimum(b1_ymin, b2_ymin)
+    enclose_xmin = tf.minimum(b1_xmin, b2_xmin)
+    enclose_ymax = tf.maximum(b1_ymax, b2_ymax)
+    enclose_xmax = tf.maximum(b1_xmax, b2_xmax)
+    enclose_width = tf.maximum(zero, enclose_xmax - enclose_xmin)
+    enclose_height = tf.maximum(zero, enclose_ymax - enclose_ymin)
+    enclose_area = enclose_width * enclose_height
+    giou = iou - tf.math.divide_no_nan(
+        (enclose_area - union_area), enclose_area)
+    return giou
diff --git a/tensorflow_addons/losses/giou_loss_test.py b/tensorflow_addons/losses/giou_loss_test.py
new file mode 100644
index 0000000000..4070d526b0
--- /dev/null
+++ b/tensorflow_addons/losses/giou_loss_test.py
@@ -0,0 +1,125 @@
+# Copyright 2019 The TensorFlow Authors. All Rights Reserved.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+# ==============================================================================
+"""Tests for GIoU loss."""
+
+from __future__ import absolute_import
+from __future__ import division
+from __future__ import print_function
+
+from absl.testing import parameterized
+
+import numpy as np
+import tensorflow as tf
+from tensorflow_addons.utils import test_utils
+from tensorflow_addons.losses import giou_loss, GIoULoss
+
+
+@test_utils.run_all_in_graph_and_eager_modes
+class GIoULossTest(tf.test.TestCase, parameterized.TestCase):
+    """GIoU test class."""
+
+    def test_config(self):
+        gl_obj = GIoULoss(
+            reduction=tf.keras.losses.Reduction.NONE, name='giou_loss')
+        self.assertEqual(gl_obj.name, 'giou_loss')
+        self.assertEqual(gl_obj.reduction, tf.keras.losses.Reduction.NONE)
+
+    @parameterized.named_parameters(("float16", np.float16),
+                                    ("float32", np.float32),
+                                    ("float64", np.float64))
+    def test_iou(self, dtype):
+        boxes1 = tf.constant([[4.0, 3.0, 7.0, 5.0], [5.0, 6.0, 10.0, 7.0]],
+                             dtype=dtype)
+        boxes2 = tf.constant([[3.0, 4.0, 6.0, 8.0], [14.0, 14.0, 15.0, 15.0]],
+                             dtype=dtype)
+        expected_result = tf.constant([0.875, 1.], dtype=dtype)
+        loss = giou_loss(boxes1, boxes2, mode='iou')
+        self.assertAllCloseAccordingToType(loss, expected_result)
+
+    @parameterized.named_parameters(("float16", np.float16),
+                                    ("float32", np.float32),
+                                    ("float64", np.float64))
+    def test_giou_loss(self, dtype):
+        boxes1 = tf.constant([[4.0, 3.0, 7.0, 5.0], [5.0, 6.0, 10.0, 7.0]],
+                             dtype=dtype)
+        boxes2 = tf.constant([[3.0, 4.0, 6.0, 8.0], [14.0, 14.0, 15.0, 15.0]],
+                             dtype=dtype)
+        expected_result = tf.constant(
+            [1.07500000298023224, 1.9333333373069763], dtype=dtype)
+        loss = giou_loss(boxes1, boxes2)
+        self.assertAllCloseAccordingToType(loss, expected_result)
+
+    def test_with_integer(self):
+        boxes1 = tf.constant([[4, 3, 7, 5], [5, 6, 10, 7]], dtype=tf.int32)
+        boxes2 = tf.constant([[3, 4, 6, 8], [14, 14, 15, 15]], dtype=tf.int32)
+        expected_result = tf.constant(
+            [1.07500000298023224, 1.9333333373069763], dtype=tf.float32)
+        loss = giou_loss(boxes1, boxes2)
+        self.assertAllCloseAccordingToType(loss, expected_result)
+
+    @parameterized.named_parameters(("float16", np.float16),
+                                    ("float32", np.float32),
+                                    ("float64", np.float64))
+    def test_different_shapes(self, dtype):
+        boxes1 = tf.constant([[4.0, 3.0, 7.0, 5.0], [5.0, 6.0, 10.0, 7.0]],
+                             dtype=dtype)
+        boxes2 = tf.constant([[3.0, 4.0, 6.0, 8.0]], dtype=dtype)
+        tf.expand_dims(boxes1, -2)
+        tf.expand_dims(boxes2, 0)
+        expected_result = tf.constant([1.07500000298023224, 1.366071],
+                                      dtype=dtype)
+        loss = giou_loss(boxes1, boxes2)
+        self.assertAllCloseAccordingToType(loss, expected_result)
+
+        boxes1 = tf.constant([[4.0, 3.0, 7.0, 5.0], [5.0, 6.0, 10.0, 7.0]],
+                             dtype=dtype)
+        boxes2 = tf.constant([[3.0, 4.0, 6.0, 8.0]], dtype=dtype)
+        tf.expand_dims(boxes1, 0)
+        tf.expand_dims(boxes2, -2)
+        expected_result = tf.constant([1.07500000298023224, 1.366071],
+                                      dtype=dtype)
+        loss = giou_loss(boxes1, boxes2)
+        self.assertAllCloseAccordingToType(loss, expected_result)
+
+    @parameterized.named_parameters(("float16", np.float16),
+                                    ("float32", np.float32),
+                                    ("float64", np.float64))
+    def test_one_bbox(self, dtype):
+        boxes1 = tf.constant([4.0, 3.0, 7.0, 5.0], dtype=dtype)
+        boxes2 = tf.constant([3.0, 4.0, 6.0, 8.0], dtype=dtype)
+        expected_result = tf.constant(1.07500000298023224, dtype=dtype)
+        loss = giou_loss(boxes1, boxes2)
+        self.assertAllCloseAccordingToType(loss, expected_result)
+
+    @parameterized.named_parameters(("float16", np.float16),
+                                    ("float32", np.float32),
+                                    ("float64", np.float64))
+    def test_keras_model(self, dtype):
+        boxes1 = tf.constant([[4.0, 3.0, 7.0, 5.0], [5.0, 6.0, 10.0, 7.0]],
+                             dtype=dtype)
+        boxes2 = tf.constant([[3.0, 4.0, 6.0, 8.0], [14.0, 14.0, 15.0, 15.0]],
+                             dtype=dtype)
+        expected_result = tf.constant(
+            [1.07500000298023224, 1.9333333373069763], dtype=dtype)
+        model = tf.keras.Sequential()
+        model.compile(
+            optimizer='adam',
+            loss=GIoULoss(reduction=tf.keras.losses.Reduction.NONE))
+        loss = model.evaluate(boxes1, boxes2, batch_size=2, steps=1)
+        self.assertAllCloseAccordingToType(loss, expected_result)
+
+
+if __name__ == '__main__':
+    tf.test.main()