diff --git a/debian/changelog b/debian/changelog
index c1d768585..d0adf37a6 100644
--- a/debian/changelog
+++ b/debian/changelog
@@ -23,6 +23,8 @@ live-build (1:20160105) UNRELEASED; urgency=medium
     Thanks to Erik Cumps <erik.cumps@esaturnus.com> for the patch.
   * Export SOURCE_DATE_EPOCH when running chroot commands. Closes: #832998
     Thanks to Chris Lamb <lamby@debian.org> for the patch.
+  * Set xorriso's "modification time" to SOURCE_DATE_EPOCH. Closes: #831379
+    Thanks to Chris Lamb <lamby@debian.org> for the patch.
 
   [ Kristian Klausen ]
   * Include ext{3,4} journal size when calculating image size. Closes: #801712
diff --git a/scripts/build/binary_iso b/scripts/build/binary_iso
index d4a872eb2..2b381622a 100755
--- a/scripts/build/binary_iso
+++ b/scripts/build/binary_iso
@@ -107,6 +107,9 @@ then
 	XORRISO_OPTIONS="${XORRISO_OPTIONS} -V \"${LB_ISO_VOLUME}\""
 fi
 
+# Set an explicit modification date
+XORRISO_OPTIONS="${XORRISO_OPTIONS} --modification-date=$(date --utc --date="@${SOURCE_DATE_EPOCH:-$(date +%s)}" +%Y%m%d%H%m%S00)"
+
 OLDIFS="$IFS"
 IFS=","
 BOOTLOADER_NUMBER=0
diff --git a/scripts/build/source_iso b/scripts/build/source_iso
index 0a8848d53..c280d30be 100755
--- a/scripts/build/source_iso
+++ b/scripts/build/source_iso
@@ -98,6 +98,9 @@ then
 	XORRISO_OPTIONS="${XORRISO_OPTIONS} -V \"${LB_ISO_VOLUME}\""
 fi
 
+# Set an explicit modification date
+XORRISO_OPTIONS="${XORRISO_OPTIONS} --modification-date=$(date --utc --date="@${SOURCE_DATE_EPOCH:-$(date +%s)}" +%Y%m%d%H%m%S00)"
+
 # Moving image
 mv source chroot