diff --git a/src/Spout/Reader/XLSX/Manager/StyleManager.php b/src/Spout/Reader/XLSX/Manager/StyleManager.php
index 9232ef1..193324d 100644
--- a/src/Spout/Reader/XLSX/Manager/StyleManager.php
+++ b/src/Spout/Reader/XLSX/Manager/StyleManager.php
@@ -48,7 +48,10 @@ class StyleManager
     /** @var string Path of the XLSX file being read */
     protected $filePath;
 
-    /** @var string Path of the styles XML file */
+    /** @var bool Whether the XLSX file contains a styles XML file */
+    protected $hasStylesXMLFile;
+
+    /** @var string|null Path of the styles XML file */
     protected $stylesXMLFilePath;
 
     /** @var InternalEntityFactory Factory to create entities */
@@ -76,7 +79,10 @@ class StyleManager
         $this->filePath = $filePath;
         $this->entityFactory = $entityFactory;
         $this->builtinNumFmtIdIndicatingDates = array_keys(self::$builtinNumFmtIdToNumFormatMapping);
-        $this->stylesXMLFilePath = $workbookRelationshipsManager->getStylesXMLFilePath();
+        $this->hasStylesXMLFile = $workbookRelationshipsManager->hasStylesXMLFile();
+        if ($this->hasStylesXMLFile) {
+            $this->stylesXMLFilePath = $workbookRelationshipsManager->getStylesXMLFilePath();
+        }
     }
 
     /**
@@ -88,6 +94,10 @@ class StyleManager
      */
     public function shouldFormatNumericValueAsDate($styleId)
     {
+        if (!$this->hasStylesXMLFile) {
+            return false;
+        }
+
         $stylesAttributes = $this->getStylesAttributes();
 
         // Default style (0) does not format numeric values as timestamps. Only custom styles do.
diff --git a/src/Spout/Reader/XLSX/Manager/WorkbookRelationshipsManager.php b/src/Spout/Reader/XLSX/Manager/WorkbookRelationshipsManager.php
index 2a9b4e0..68d8709 100644
--- a/src/Spout/Reader/XLSX/Manager/WorkbookRelationshipsManager.php
+++ b/src/Spout/Reader/XLSX/Manager/WorkbookRelationshipsManager.php
@@ -75,7 +75,17 @@ class WorkbookRelationshipsManager
     }
 
     /**
-     * @return string|null The path of the styles XML file
+     * @return bool Whether the XLSX file contains a styles XML file
+     */
+    public function hasStylesXMLFile()
+    {
+        $workbookRelationships = $this->getWorkbookRelationships();
+
+        return isset($workbookRelationships[self::RELATIONSHIP_TYPE_STYLES]);
+    }
+
+    /**
+     * @return string The path of the styles XML file
      */
     public function getStylesXMLFilePath()
     {
diff --git a/tests/Spout/Reader/XLSX/Manager/StyleManagerTest.php b/tests/Spout/Reader/XLSX/Manager/StyleManagerTest.php
index a8aa190..794f4bc 100644
--- a/tests/Spout/Reader/XLSX/Manager/StyleManagerTest.php
+++ b/tests/Spout/Reader/XLSX/Manager/StyleManagerTest.php
@@ -19,6 +19,7 @@ class StyleManagerTest extends TestCase
     {
         $entityFactory = $this->createMock(InternalEntityFactory::class);
         $workbookRelationshipsManager = $this->createMock(WorkbookRelationshipsManager::class);
+        $workbookRelationshipsManager->method('hasStylesXMLFile')->willReturn(true);
 
         /** @var StyleManager $styleManager */
         $styleManager = $this->getMockBuilder('\Box\Spout\Reader\XLSX\Manager\StyleManager')
diff --git a/tests/Spout/Reader/XLSX/ReaderTest.php b/tests/Spout/Reader/XLSX/ReaderTest.php
index e5f5b6e..51a7b0e 100644
--- a/tests/Spout/Reader/XLSX/ReaderTest.php
+++ b/tests/Spout/Reader/XLSX/ReaderTest.php
@@ -473,6 +473,19 @@ class ReaderTest extends TestCase
         $this->assertEquals($expectedRows, $allRows);
     }
 
+    /**
+     * @return void
+     */
+    public function testReadShouldSupportMissingStylesXMLFile()
+    {
+        $allRows = $this->getAllRowsForFile('file_with_no_styles_in_workbook_xml.xlsx');
+
+        $expectedRows = [
+            ['s1--A1', 's1--B1'],
+        ];
+        $this->assertEquals($expectedRows, $allRows);
+    }
+
     /**
      * @return void
      */
diff --git a/tests/resources/xlsx/file_with_no_styles_in_workbook_xml.xlsx b/tests/resources/xlsx/file_with_no_styles_in_workbook_xml.xlsx
new file mode 100644
index 0000000..aea1af5
Binary files /dev/null and b/tests/resources/xlsx/file_with_no_styles_in_workbook_xml.xlsx differ