Connolly joined the Australian Labor Party in 1976 and was elected as South Australian President of Young Labor in 1978; and as National President in 1979.[1]
Connolly became a Labor Member of the Australian Capital Territory Legislative Assembly in 1990 on the resignation of Paul Whalan and served as Attorney-General from 1991 to 1995. With the creation of electorates in 1995, he became a member for Molonglo. Connolly also served as Minister for Housing and Community Services from 1991 to 1995 and Minister for Urban Services from 1992 to 1995.[5]
He resigned from the Assembly in February 1996[6] and was appointed Master of the Australian Capital Territory Supreme Court. Connolly was appointed a judge of the ACT Supreme Court in January 2003.[3]
Connolly died of a heart attack while cycling atop Red Hill in Canberra;[7] and his family carried out his wishes to donate his organs for the benefit of others.[8] He is survived by his wife, Dr Helen Watchirs, the ACT Human Rights Commissioner and their two daughters; Lara and Maddy.[4]