1. Children's Book of the Year Award: Australia (CBCA) - Won 1996 for "Two Weeks with the Queen" and 2003 for "Once."
2. Printz Award: Won in 2006 for "Once."
3. Prime Minister's Literary Awards: Won 2018 in the Children's Fiction category for "The Other Facts of Life" and 1995 for "Blabber Mouth."
4. The Astrid Lindgren Memorial Award - Nominated in 2008.
5. The Wilderness Society Environment Award for Children's Literature: Won 2008 for "Boy Overboard" and 2014 for "Room to Breathe."
6. Queensland Premier's Literary Awards - Won in 1995 and 2014.
Please note that this list may not be exhaustive, and Morris Gleitzman may have won additional awards or nominations since this information was last updated.