An online petition signed by 1300 people is calling for the former army chief to resign for what it says is his failure to support returned soldiers.
The petition also calls for General Morrison to relinquish the retired title of General for not using his Australia Day speech "to publicly champion the cause of physically and mentally disabled ADF personnel".
General Morrison says he has always supported veterans and will continue to do so as Australian of the Year.
"As the grandson and son of veterans and a veteran myself, I care deeply about issues affecting the veteran community," he said on Saturday morning.