diff --git a/glib/gdatetime.c b/glib/gdatetime.c
index f64b281be..f3a951cd0 100644
--- a/glib/gdatetime.c
+++ b/glib/gdatetime.c
@@ -948,6 +948,14 @@ g_date_time_new (GTimeZone *tz,
   GDateTime *datetime;
   gint64 full_time;
 
+  if (year < 1 || year > 9999 ||
+      month < 1 || month > 12 ||
+      day < 1 || day > 31 ||
+      hour < 0 || hour > 23 ||
+      minute < 0 || minute > 59 ||
+      seconds < 0.0 || seconds >= 60.0)
+    return NULL;
+
   datetime = g_date_time_alloc (tz);
   datetime->days = ymd_to_days (year, month, day);
   datetime->usec = (hour   * USEC_PER_HOUR)
diff --git a/glib/tests/gdatetime.c b/glib/tests/gdatetime.c
index 3bb5ebbe6..0cf5e8505 100644
--- a/glib/tests/gdatetime.c
+++ b/glib/tests/gdatetime.c
@@ -127,6 +127,17 @@ test_GDateTime_new_from_unix (void)
   g_date_time_unref (dt);
 }
 
+static void
+test_GDateTime_invalid (void)
+{
+  GDateTime *dt;
+
+  g_test_bug ("702674");
+
+  dt = g_date_time_new_utc (2013, -2147483647, 31, 17, 15, 48);
+  g_assert (dt == NULL);
+}
+
 static void
 test_GDateTime_compare (void)
 {
@@ -1233,7 +1244,7 @@ test_z (void)
   g_test_bug ("642935");
 
   tz = g_time_zone_new ("-08:00");
-  dt = g_date_time_new (tz, 0, 0, 0, 0, 0, 0);
+  dt = g_date_time_new (tz, 1, 1, 1, 0, 0, 0);
   p = g_date_time_format (dt, "%z");
   g_assert_cmpstr (p, ==, "-0800");
   g_date_time_unref (dt);
@@ -1540,6 +1551,7 @@ main (gint   argc,
 
   /* GDateTime Tests */
 
+  g_test_add_func ("/GDateTime/invalid", test_GDateTime_invalid);
   g_test_add_func ("/GDateTime/add_days", test_GDateTime_add_days);
   g_test_add_func ("/GDateTime/add_full", test_GDateTime_add_full);
   g_test_add_func ("/GDateTime/add_hours", test_GDateTime_add_hours);