Connor's television credits include the Channel Seven series Fire, the Australian Broadcasting Corporation drama Heartland, the miniseries The Harp in the South and Poor Man's Orange. Awards include the 1984 Penguin Award for best actor, 1995 Green Room Award for outstanding fringe performer and a nomination for the 1998 AFI Award for best actor in a leading role in a television drama. Connor also played guest roles in Australian soap operas: He played a guest role of Kevin, husband of Cheryll, in the women's prison drama serial Prisoner. Then in 1986 he returned to the series in the recurring role of biker Bongo Connors. Connor had a brief role as another biker, Angel, in Sons and Daughters in 1986. He appeared in the USA television miniseries Moby Dick as Flask.
''Neighbours''
In July 1999, Connor began filming the ongoing role of builder and family patriarch Joe Scully in the television soap operaNeighbours, with his first scene's going on air in October. The show's producers invited him to audition for the role, and he decided to accept when he found out that he would be working with actress Janet Andrewartha, who plays Joe's on-screen wife Lyn Scully. Connor had previously played a guest role in the series as character Phil Hoffman debuting on-screen in "Episode 1410" on 26th March and appearing until 16th April, 1991. Joe Scully gave Connor the chance to play a character who was not a "bad guy, a confrontational type, a man on the verge". Connor was initially contracted with Neighbours for three years, with 12-month renewal options. Connor was fired from the series in September 2003, several months after receiving a written warning from producers and overcoming an amphetamine habit. There had been ongoing hostility between him and Andrewartha; who had been the source of the vast majority of complaints about him. He sued the show's producer, Grundy Television, for wrongful termination of his contract, seeking about $200,000. The court hearing heard that he had an amphetamine drug habit while performing on the show. Connor's older brother died in June 2001 and he had been badly affected by this, leading to the drug habit. Members of the cast and crew had complained about his behaviour at work. This included alleged aggressive behaviour and lateness that delayed production. After being confronted about his problem he met with the cast in May 2003 and admitted the problem and apologised. Connor won the case and was awarded by the Supreme Court of Victoria over $230,000 in libel damages.
After ''Neighbours''
Connor worked in the United Kingdom in pantomime. He also appeared as a guest in reality TV showThe Salon. In 2008 Connor got a supporting role in the coming of agePlaying For Charlie filmed in Melbourne. He also appeared in Killing Time. In 2013, Connor appeared as an outback Policeman in Wolf Creek 2. He later guested in Nine Network's House Husbands. Connor joined the cast of Wentworth in a recurring role in 2018.