diff --git a/Tests/test_file_png.py b/Tests/test_file_png.py
index bb2b0d119..2a40ab7be 100644
--- a/Tests/test_file_png.py
+++ b/Tests/test_file_png.py
@@ -635,6 +635,17 @@ class TestFilePng:
 
             assert_image_equal_tofile(im, "Tests/images/bw_gradient.png")
 
+    @pytest.mark.parametrize("cid", (b"IHDR", b"pHYs", b"acTL", b"fcTL", b"fdAT"))
+    def test_truncated_chunks(self, cid):
+        fp = BytesIO()
+        with PngImagePlugin.PngStream(fp) as png:
+            with pytest.raises(ValueError):
+                png.call(cid, 0, 0)
+
+            ImageFile.LOAD_TRUNCATED_IMAGES = True
+            png.call(cid, 0, 0)
+            ImageFile.LOAD_TRUNCATED_IMAGES = False
+
     def test_specify_bits(self, tmp_path):
         im = hopper("P")
 
diff --git a/src/PIL/PngImagePlugin.py b/src/PIL/PngImagePlugin.py
index c939b86e7..01b4fd9ce 100644
--- a/src/PIL/PngImagePlugin.py
+++ b/src/PIL/PngImagePlugin.py
@@ -424,6 +424,10 @@ class PngStream(ChunkStream):
 
         # image header
         s = ImageFile._safe_read(self.fp, length)
+        if length < 13:
+            if ImageFile.LOAD_TRUNCATED_IMAGES:
+                return s
+            raise ValueError("Truncated IHDR chunk")
         self.im_size = i32(s, 0), i32(s, 4)
         try:
             self.im_mode, self.im_rawmode = _MODES[(s[8], s[9])]
@@ -512,6 +516,10 @@ class PngStream(ChunkStream):
 
         # pixels per unit
         s = ImageFile._safe_read(self.fp, length)
+        if length < 9:
+            if ImageFile.LOAD_TRUNCATED_IMAGES:
+                return s
+            raise ValueError("Truncated pHYs chunk")
         px, py = i32(s, 0), i32(s, 4)
         unit = s[8]
         if unit == 1:  # meter
@@ -624,6 +632,10 @@ class PngStream(ChunkStream):
     # APNG chunks
     def chunk_acTL(self, pos, length):
         s = ImageFile._safe_read(self.fp, length)
+        if length < 8:
+            if ImageFile.LOAD_TRUNCATED_IMAGES:
+                return s
+            raise ValueError("APNG contains truncated acTL chunk")
         if self.im_n_frames is not None:
             self.im_n_frames = None
             warnings.warn("Invalid APNG, will use default PNG image if possible")
@@ -639,6 +651,10 @@ class PngStream(ChunkStream):
 
     def chunk_fcTL(self, pos, length):
         s = ImageFile._safe_read(self.fp, length)
+        if length < 26:
+            if ImageFile.LOAD_TRUNCATED_IMAGES:
+                return s
+            raise ValueError("APNG contains truncated fcTL chunk")
         seq = i32(s)
         if (self._seq_num is None and seq != 0) or (
             self._seq_num is not None and self._seq_num != seq - 1
@@ -660,6 +676,11 @@ class PngStream(ChunkStream):
         return s
 
     def chunk_fdAT(self, pos, length):
+        if length < 4:
+            if ImageFile.LOAD_TRUNCATED_IMAGES:
+                s = ImageFile._safe_read(self.fp, length)
+                return s
+            raise ValueError("APNG contains truncated fDAT chunk")
         s = ImageFile._safe_read(self.fp, 4)
         seq = i32(s)
         if self._seq_num != seq - 1: