diff --git a/app/code/Magento/CmsGraphQl/Model/Resolver/Blocks.php b/app/code/Magento/CmsGraphQl/Model/Resolver/Blocks.php
index e55db2a3fa42..6e508d7e4ad9 100644
--- a/app/code/Magento/CmsGraphQl/Model/Resolver/Blocks.php
+++ b/app/code/Magento/CmsGraphQl/Model/Resolver/Blocks.php
@@ -14,6 +14,7 @@
 use Magento\Framework\GraphQl\Exception\GraphQlNoSuchEntityException;
 use Magento\Framework\GraphQl\Query\ResolverInterface;
 use Magento\Framework\GraphQl\Schema\Type\ResolveInfo;
+use Magento\Store\Api\Data\StoreInterface;
 
 /**
  * CMS blocks field resolver, used for GraphQL request processing
@@ -46,7 +47,8 @@ public function resolve(
     ) {
 
         $blockIdentifiers = $this->getBlockIdentifiers($args);
-        $blocksData = $this->getBlocksData($blockIdentifiers);
+        $currentStore = $context->getExtensionAttributes()->getStore();
+        $blocksData = $this->getBlocksData($blockIdentifiers, $currentStore);
 
         $resultData = [
             'items' => $blocksData,
@@ -74,15 +76,15 @@ private function getBlockIdentifiers(array $args): array
      * Get blocks data
      *
      * @param array $blockIdentifiers
+     * @param StoreInterface $currentStore
      * @return array
-     * @throws GraphQlNoSuchEntityException
      */
-    private function getBlocksData(array $blockIdentifiers): array
+    private function getBlocksData(array $blockIdentifiers, StoreInterface $currentStore): array
     {
         $blocksData = [];
         foreach ($blockIdentifiers as $blockIdentifier) {
             try {
-                $blocksData[$blockIdentifier] = $this->blockDataProvider->getData($blockIdentifier);
+                $blocksData[$blockIdentifier] = $this->blockDataProvider->getData($blockIdentifier, $currentStore);
             } catch (NoSuchEntityException $e) {
                 $blocksData[$blockIdentifier] = new GraphQlNoSuchEntityException(__($e->getMessage()), $e);
             }
diff --git a/app/code/Magento/CmsGraphQl/Model/Resolver/DataProvider/Block.php b/app/code/Magento/CmsGraphQl/Model/Resolver/DataProvider/Block.php
index fa4944381b85..4c126bd2a3f2 100644
--- a/app/code/Magento/CmsGraphQl/Model/Resolver/DataProvider/Block.php
+++ b/app/code/Magento/CmsGraphQl/Model/Resolver/DataProvider/Block.php
@@ -7,9 +7,12 @@
 
 namespace Magento\CmsGraphQl\Model\Resolver\DataProvider;
 
-use Magento\Cms\Api\BlockRepositoryInterface;
 use Magento\Cms\Api\Data\BlockInterface;
+use Magento\Cms\Model\Block as BlockModel;
+use Magento\Cms\Model\ResourceModel\Block\Collection as BlockCollection;
+use Magento\Cms\Model\ResourceModel\Block\CollectionFactory as BlockCollectionFactory;
 use Magento\Framework\Exception\NoSuchEntityException;
+use Magento\Store\Api\Data\StoreInterface;
 use Magento\Widget\Model\Template\FilterEmulate;
 
 /**
@@ -18,38 +21,50 @@
 class Block
 {
     /**
-     * @var BlockRepositoryInterface
+     * @var FilterEmulate
      */
-    private $blockRepository;
+    private $widgetFilter;
 
     /**
-     * @var FilterEmulate
+     * @var BlockCollectionFactory
      */
-    private $widgetFilter;
+    private $blockCollectionFactory;
 
     /**
-     * @param BlockRepositoryInterface $blockRepository
+     * @param BlockCollectionFactory $blockCollectionFactory
      * @param FilterEmulate $widgetFilter
      */
     public function __construct(
-        BlockRepositoryInterface $blockRepository,
+        BlockCollectionFactory $blockCollectionFactory,
         FilterEmulate $widgetFilter
     ) {
-        $this->blockRepository = $blockRepository;
         $this->widgetFilter = $widgetFilter;
+        $this->blockCollectionFactory = $blockCollectionFactory;
     }
 
     /**
      * Get block data
      *
      * @param string $blockIdentifier
+     * @param StoreInterface $currentStore
      * @return array
      * @throws NoSuchEntityException
      */
-    public function getData(string $blockIdentifier): array
+    public function getData(string $blockIdentifier, StoreInterface $currentStore): array
     {
-        $block = $this->blockRepository->getById($blockIdentifier);
+        $filterBy = BlockInterface::IDENTIFIER;
+        $storeId = (int)$currentStore->getId();
+        if (is_numeric($blockIdentifier)) {
+            $filterBy = BlockInterface::BLOCK_ID;
+        }
+
+        /** @var BlockCollection $collection */
+        $collection = $this->blockCollectionFactory->create();
+        $collection->addFieldToFilter($filterBy, ["eq" => $blockIdentifier]);
+        $collection->addFieldToFilter("store_id", ["eq" => $storeId]);
 
+        /** @var BlockModel $block */
+        $block = $collection->getFirstItem();
         if (false === $block->isActive()) {
             throw new NoSuchEntityException(
                 __('The CMS block with the "%1" ID doesn\'t exist.', $blockIdentifier)
diff --git a/app/code/Magento/CmsGraphQl/composer.json b/app/code/Magento/CmsGraphQl/composer.json
index 45255edec0cb..e9c4e89ed8a1 100644
--- a/app/code/Magento/CmsGraphQl/composer.json
+++ b/app/code/Magento/CmsGraphQl/composer.json
@@ -5,6 +5,7 @@
     "require": {
         "php": "~7.1.3||~7.2.0||~7.3.0",
         "magento/framework": "*",
+        "magento/module-store": "*",
         "magento/module-cms": "*",
         "magento/module-widget": "*"
     },
diff --git a/dev/tests/api-functional/testsuite/Magento/GraphQl/Cms/CmsBlockTest.php b/dev/tests/api-functional/testsuite/Magento/GraphQl/Cms/CmsBlockTest.php
index d598a463a48a..b2cb26e9e5be 100644
--- a/dev/tests/api-functional/testsuite/Magento/GraphQl/Cms/CmsBlockTest.php
+++ b/dev/tests/api-functional/testsuite/Magento/GraphQl/Cms/CmsBlockTest.php
@@ -203,4 +203,32 @@ public function testGetEnabledAndDisabledCmsBlockInOneRequest()
             $responseData['errors'][0]['message']
         );
     }
+
+    /**
+     * Verify the message when CMS Block exists but not available for a store view.
+     *
+     * @magentoApiDataFixture Magento/Cms/_files/blocks.php
+     * @magentoApiDataFixture Magento/Store/_files/second_store.php
+     * @expectedException \Exception
+     * @expectedExceptionMessage The CMS block with the "enabled_block" ID doesn't exist.
+     */
+    public function testGetCmsBlockByIdentifierWithDifferentStoreView()
+    {
+        $query =
+            <<<QUERY
+{
+  cmsBlocks(identifiers: "enabled_block") {
+    items {
+      identifier
+      title
+      content
+    }
+  }
+}
+QUERY;
+
+        $nonExistingStoreCode = "fixture_second_store";
+        $headerMapInvalidStoreCode = ['Store' => $nonExistingStoreCode];
+        $this->graphQlQuery($query, [], '', $headerMapInvalidStoreCode);
+    }
 }