diff --git a/ANNOUNCE b/ANNOUNCE
index 5f4fc5477..58f92846c 100644
--- a/ANNOUNCE
+++ b/ANNOUNCE
@@ -900,6 +900,7 @@ Version 1.7.0beta66 [September 20, 2015]
     correction introduced significant errors if the app subsequently
     did further corrections, only shown by using files with gAMA 1/1.52 in
     pngstest (John Bowler).
+  Suppressed bogus Coverity issues in pngrutil.c and pngwutil.c.
 
 Send comments/corrections/commendations to png-mng-implement at lists.sf.net
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diff --git a/CHANGES b/CHANGES
index 15179c8a3..8f5123e7f 100644
--- a/CHANGES
+++ b/CHANGES
@@ -5199,6 +5199,7 @@ Version 1.7.0beta66 [September 20, 2015]
     correction introduced significant errors if the app subsequently
     did further corrections, only shown by using files with gAMA 1/1.52 in
     pngstest (John Bowler).
+  Suppressed bogus Coverity issues in pngrutil.c and pngwutil.c.
 
 Send comments/corrections/commendations to png-mng-implement at lists.sf.net
 (subscription required; visit
diff --git a/pngrutil.c b/pngrutil.c
index 83e98ddf3..1063db319 100644
--- a/pngrutil.c
+++ b/pngrutil.c
@@ -4159,8 +4159,10 @@ png_read_process_IDAT(png_structrp png_ptr)
             /* This can be temporary; it verifies the invariants on how
              * png_inflate_IDAT updates the {next,avail}_out fields:
              */
+#ifndef __COVERITY__  /* Suppress bogus Coverity complaint */
             debug(png_ptr->zstream.avail_out == 1-cb &&
                   png_ptr->zstream.next_out == cb + &png_ptr->next_filter);
+#endif
 
             /* next_out points into png_struct, for security do this: */
             png_ptr->zstream.next_out = NULL;
diff --git a/pngwutil.c b/pngwutil.c
index 3a05c4e37..2404905a3 100644
--- a/pngwutil.c
+++ b/pngwutil.c
@@ -1140,7 +1140,12 @@ png_save_int_31(png_structrp png_ptr, png_bytep buf, png_int_32 i)
     * actually makes this error impossible, but this is safe.
     */
 {
+#ifndef __COVERITY__
    if (i >= 0 && i <= 0x7FFFFFFF)
+#else
+   /* Supress bogus Coverity complaint */
+   if (i >= 0)
+#endif
    {
       png_save_uint_32(buf, (png_uint_32)/*SAFE*/i);
       return 1;