diff --git a/can/io/blf.py b/can/io/blf.py
index 77bd02fae..16e2ff630 100644
--- a/can/io/blf.py
+++ b/can/io/blf.py
@@ -250,6 +250,8 @@ def _parse_data(self, data: bytes) -> Iterator[Message]:
             signature, header_size, header_version, obj_size, obj_type = header
             if signature != b"LOBJ":
                 raise BLFParseError()
+            if obj_size < obj_header_base_size:
+                raise BLFParseError(f"Invalid object size {obj_size}")
 
             # Calculate position of next object
             next_pos = pos + obj_size
diff --git a/doc/changelog.d/1584.fixed.rst b/doc/changelog.d/1584.fixed.rst
new file mode 100644
index 000000000..8b7f2acce
--- /dev/null
+++ b/doc/changelog.d/1584.fixed.rst
@@ -0,0 +1,3 @@
+Raise ``BLFParseError`` for objects inside BLF log containers
+that are smaller than their base header instead of repeatedly reading a
+zero-sized object.
diff --git a/test/logformats_test.py b/test/logformats_test.py
index 42ed29b13..9a249e4d9 100644
--- a/test/logformats_test.py
+++ b/test/logformats_test.py
@@ -20,6 +20,7 @@
 from abc import ABCMeta, abstractmethod
 from contextlib import contextmanager
 from datetime import datetime, timedelta, timezone
+from io import BytesIO
 from itertools import zip_longest
 from pathlib import Path
 from unittest.mock import patch
@@ -849,6 +850,41 @@ def _read_log_file(self, filename):
         with can.BLFReader(logfile) as reader:
             return list(reader)
 
+    @parameterized.expand([0, 1, blf.OBJ_HEADER_BASE_STRUCT.size - 1])
+    def test_invalid_object_size(self, obj_size):
+        with can.BLFWriter(self.test_file_name, compression_level=0) as writer:
+            writer(can.Message(arbitration_id=0x123, data=[1, 2, 3]))
+
+        data = bytearray(Path(self.test_file_name).read_bytes())
+        # The uncompressed container starts immediately after its two headers.
+        offset = (
+            blf.FILE_HEADER_SIZE
+            + blf.OBJ_HEADER_BASE_STRUCT.size
+            + blf.LOG_CONTAINER_STRUCT.size
+        )
+        header = list(blf.OBJ_HEADER_BASE_STRUCT.unpack_from(data, offset))
+        header[3] = obj_size
+        blf.OBJ_HEADER_BASE_STRUCT.pack_into(data, offset, *header)
+
+        with can.BLFReader(BytesIO(data)) as reader:
+            with self.assertRaisesRegex(
+                blf.BLFParseError, f"Invalid object size {obj_size}"
+            ):
+                next(iter(reader))
+
+    def test_object_split_between_containers(self):
+        messages = [
+            can.Message(timestamp=1700000000, arbitration_id=0x123, data=[1, 2, 3]),
+            can.Message(timestamp=1700000001, arbitration_id=0x456, data=[4, 5, 6]),
+        ]
+        with can.BLFWriter(self.test_file_name, compression_level=0) as writer:
+            writer.max_container_size = 32
+            for message in messages:
+                writer(message)
+
+        with can.BLFReader(self.test_file_name) as reader:
+            self.assertMessagesEqual(messages, list(reader))
+
     def test_can_message(self):
         expected = can.Message(
             timestamp=2459565876.494607,