Solomon has been the recipient of numerous prestigious awards throughout his career. A selected list is outlined below. 
* 2016 Companion of the Order of Australia.
* 2011 Prime Minister's Prize for Science, awarded jointly with Dr Ezio Rizzardo.
* 2006 Victoria Prize.
* 2001 Centenary Medal.
* 1994 Clunies Ross National Science and Technology Award.
* 1990 Member of the Order of Australia.
* 1989 Ian William Wark Medal and Lecture.