diff --git a/libavformat/mov.c b/libavformat/mov.c
index ac19b3157a..be9975f297 100644
--- a/libavformat/mov.c
+++ b/libavformat/mov.c
@@ -2263,6 +2263,11 @@ static int mov_codec_id(AVStream *st, uint32_t format)
                     (st->codecpar->codec_type == AVMEDIA_TYPE_SUBTITLE &&
                     st->codecpar->codec_id == AV_CODEC_ID_NONE)) {
             id = ff_codec_get_id(ff_codec_movsubtitle_tags, format);
+            if (id <= 0) {
+                id = (format == MOV_MP4_TTML_TAG || format == MOV_ISMV_TTML_TAG) ?
+                     AV_CODEC_ID_TTML : id;
+            }
+
             if (id > 0)
                 st->codecpar->codec_type = AVMEDIA_TYPE_SUBTITLE;
             else
@@ -2457,8 +2462,10 @@ static void mov_parse_stsd_subtitle(MOVContext *c, AVIOContext *pb,
     // ttxt stsd contains display flags, justification, background
     // color, fonts, and default styles, so fake an atom to read it
     MOVAtom fake_atom = { .size = size };
-    // mp4s contains a regular esds atom
-    if (st->codecpar->codec_tag != AV_RL32("mp4s"))
+    // mp4s contains a regular esds atom, dfxp ISMV TTML has no content
+    // in extradata unlike stpp MP4 TTML.
+    if (st->codecpar->codec_tag != AV_RL32("mp4s") &&
+        st->codecpar->codec_tag != MOV_ISMV_TTML_TAG)
         mov_read_glbl(c, pb, fake_atom);
     st->codecpar->width  = sc->width;
     st->codecpar->height = sc->height;
diff --git a/tests/ref/fate/mov-mp4-ttml-dfxp b/tests/ref/fate/mov-mp4-ttml-dfxp
index 15f4f9b69b..2d60f3d964 100644
--- a/tests/ref/fate/mov-mp4-ttml-dfxp
+++ b/tests/ref/fate/mov-mp4-ttml-dfxp
@@ -1,13 +1,13 @@
 2e7e01c821c111466e7a2844826b7f6d *tests/data/fate/mov-mp4-ttml-dfxp.mp4
 8519 tests/data/fate/mov-mp4-ttml-dfxp.mp4
 #tb 0: 1/1000
-#media_type 0: data
-#codec_id 0: none
+#media_type 0: subtitle
+#codec_id 0: ttml
 0,          0,          0,    68500,     7866, 0x456c36b7
 {
     "packets": [
         {
-            "codec_type": "data",
+            "codec_type": "subtitle",
             "stream_index": 0,
             "pts": 0,
             "pts_time": "0.000000",
@@ -26,7 +26,8 @@
     "streams": [
         {
             "index": 0,
-            "codec_type": "data",
+            "codec_name": "ttml",
+            "codec_type": "subtitle",
             "codec_tag_string": "dfxp",
             "codec_tag": "0x70786664",
             "time_base": "1/1000",
diff --git a/tests/ref/fate/mov-mp4-ttml-stpp b/tests/ref/fate/mov-mp4-ttml-stpp
index 7726cd332e..0a8e423449 100644
--- a/tests/ref/fate/mov-mp4-ttml-stpp
+++ b/tests/ref/fate/mov-mp4-ttml-stpp
@@ -1,13 +1,14 @@
 cbd2c7ff864a663b0d893deac5a0caec *tests/data/fate/mov-mp4-ttml-stpp.mp4
 8547 tests/data/fate/mov-mp4-ttml-stpp.mp4
+#extradata 0:       48, 0x62100c0d
 #tb 0: 1/1000
-#media_type 0: data
-#codec_id 0: none
+#media_type 0: subtitle
+#codec_id 0: ttml
 0,          0,          0,    68500,     7866, 0x456c36b7
 {
     "packets": [
         {
-            "codec_type": "data",
+            "codec_type": "subtitle",
             "stream_index": 0,
             "pts": 0,
             "pts_time": "0.000000",
@@ -26,7 +27,8 @@ cbd2c7ff864a663b0d893deac5a0caec *tests/data/fate/mov-mp4-ttml-stpp.mp4
     "streams": [
         {
             "index": 0,
-            "codec_type": "data",
+            "codec_name": "ttml",
+            "codec_type": "subtitle",
             "codec_tag_string": "stpp",
             "codec_tag": "0x70707473",
             "time_base": "1/1000",