diff --git a/Lib/tarfile.py b/Lib/tarfile.py
index b5b28cff419a71..45ffc77ce52089 100644
--- a/Lib/tarfile.py
+++ b/Lib/tarfile.py
@@ -2360,11 +2360,14 @@ def addfile(self, tarinfo, fileobj=None):
             raise ValueError("fileobj not provided for non zero-size regular file")
 
         tarinfo = copy.copy(tarinfo)
-
+        # get current offset
+        tarinfo.offset = self.offset
         buf = tarinfo.tobuf(self.format, self.encoding, self.errors)
         self.fileobj.write(buf)
         self.offset += len(buf)
+        # add original offset to block size
         bufsize=self.copybufsize
+        tarinfo.offset_data = self.offset
         # If there's data to follow, append it.
         if fileobj is not None:
             copyfileobj(fileobj, self.fileobj, tarinfo.size, bufsize=bufsize)
diff --git a/Lib/test/test_tarfile.py b/Lib/test/test_tarfile.py
index 62a262740a7efa..a9b7ab18b5efdc 100644
--- a/Lib/test/test_tarfile.py
+++ b/Lib/test/test_tarfile.py
@@ -1485,6 +1485,29 @@ class WriteTest(WriteTestBase, unittest.TestCase):
 
     prefix = "w:"
 
+    def test_addfile_sets_offsets(self):
+        # gh-150075: addfile() must set offset and offset_data on the
+        # TarInfo stored in the archive so they match a subsequent read.
+        data = b"data"
+
+        with tarfile.open(tmpname, self.mode) as tar:
+            t1 = tarfile.TarInfo("test1.txt")
+            t1.size = len(data)
+            tar.addfile(t1, io.BytesIO(data))
+
+            t2 = tarfile.TarInfo("test2.txt")
+            t2.size = len(data)
+            tar.addfile(t2, io.BytesIO(data))
+
+            write_members = tar.getmembers()
+
+        with tarfile.open(tmpname) as tar:
+            read_members = tar.getmembers()
+
+        for w, r in zip(write_members, read_members):
+            self.assertEqual(w.offset, r.offset)
+            self.assertEqual(w.offset_data, r.offset_data)
+
     def test_100_char_name(self):
         # The name field in a tar header stores strings of at most 100 chars.
         # If a string is shorter than 100 chars it has to be padded with '\0',
diff --git a/Misc/NEWS.d/next/Core_and_Builtins/2026-05-21-14-21-06.gh-issue-150075.dLI21Z.rst b/Misc/NEWS.d/next/Core_and_Builtins/2026-05-21-14-21-06.gh-issue-150075.dLI21Z.rst
new file mode 100644
index 00000000000000..bf04e688025c71
--- /dev/null
+++ b/Misc/NEWS.d/next/Core_and_Builtins/2026-05-21-14-21-06.gh-issue-150075.dLI21Z.rst
@@ -0,0 +1 @@
+tar.addfile() doesn't set member offsets in 3.15. From reviewing the file it seemed like the copy was not adding the proper offsets to the tarinfo object. The way I fixed this is that I added the classes current offset of when.addFile is called and then added the block size after .tobuf function was called.