Maurice Agius was one of the founding members of the Union Ħaddiema Magħqudin (UHM).
He worked to establish the UHM and then served as its Secretary General from September 29, 1966 to May 14, 1998. In 1998 he was appointed Honorary Life President of the union.
Besides his activity in trade unionism Agius was also very active in sports organisations. Between 1954 and 1960 he was Council member of the Malta Football Association, representing Vittoriosa Stars.
Agius was married to Mary Calleja and they had two children, Sandra and Jacqueline.
He died on 6 August 2005 at the age of 73.