diff --git a/libavformat/nutdec.c b/libavformat/nutdec.c
index ea2ac86554..8ca59231a8 100644
--- a/libavformat/nutdec.c
+++ b/libavformat/nutdec.c
@@ -897,9 +897,13 @@ static int read_seek(AVFormatContext *s, int stream_index, int64_t pts, int flag
 static int nut_read_close(AVFormatContext *s)
 {
     NUTContext *nut = s->priv_data;
+    int i;
 
     av_freep(&nut->time_base);
     av_freep(&nut->stream);
+    av_tree_destroy_free_elem(nut->syncpoints);
+    for(i = 1; i < nut->header_count; i++)
+        av_freep(&nut->header[i]);
 
     return 0;
 }
diff --git a/libavformat/nutenc.c b/libavformat/nutenc.c
index 03d3712638..8509aa2faa 100644
--- a/libavformat/nutenc.c
+++ b/libavformat/nutenc.c
@@ -797,6 +797,9 @@ static int write_trailer(AVFormatContext *s){
     while(nut->header_count<3)
         write_headers(nut, bc);
     put_flush_packet(bc);
+    av_freep(&nut->stream);
+    av_freep(&nut->time_base);
+    av_tree_destroy_free_elem(nut->syncpoints);
 
     return 0;
 }