diff --git a/Lib/bz2.py b/Lib/bz2.py
index fabe4f73c8d808..8d26a897680c7d 100644
--- a/Lib/bz2.py
+++ b/Lib/bz2.py
@@ -94,6 +94,11 @@ def __init__(self, filename, mode="r", *, compresslevel=9):
         else:
             self._pos = 0
 
+        if not isinstance(filename, (str, bytes)):
+            self.name = ''
+        else:
+            self.name = os.fspath(filename)
+
     def close(self):
         """Flush and close the file.
 
diff --git a/Lib/test/test_bz2.py b/Lib/test/test_bz2.py
index 9965c1fe2e5f17..280f77c0309299 100644
--- a/Lib/test/test_bz2.py
+++ b/Lib/test/test_bz2.py
@@ -106,6 +106,27 @@ def testBadArgs(self):
         # compresslevel is keyword-only
         self.assertRaises(TypeError, BZ2File, os.devnull, "r", 3)
 
+    def testNameFile(self):
+        self.createTempFile()
+        with BZ2File(self.filename) as bz2f:
+            self.assertTrue(hasattr(bz2f, 'name'))
+            self.assertTrue(bz2f.name == self.filename)
+
+    def testNameBytesIO(self):
+        bz2f = BZ2File(BytesIO(self.DATA))
+        try:
+            self.assertTrue(hasattr(bz2f, 'name'))
+            self.assertTrue(bz2f.name == '')
+        finally:
+            bz2f.close()
+
+        bz2f = BZ2File(BytesIO(), "w")
+        try:
+            self.assertTrue(hasattr(bz2f, 'name'))
+            self.assertTrue(bz2f.name == '')
+        finally:
+            bz2f.close()
+
     def testRead(self):
         self.createTempFile()
         with BZ2File(self.filename) as bz2f:
diff --git a/Misc/NEWS.d/next/Library/2022-04-04-18-56-26.bpo-47217.0Jd0lE.rst b/Misc/NEWS.d/next/Library/2022-04-04-18-56-26.bpo-47217.0Jd0lE.rst
new file mode 100644
index 00000000000000..1a1378adc49338
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2022-04-04-18-56-26.bpo-47217.0Jd0lE.rst
@@ -0,0 +1 @@
+Added name attribute for BZ2File (where appropriate and possible).