His older brother Terry was a professional footballer. Kenny Hibbitt started his senior career with his home town club Bradford Park Avenue. He then left for £5,000 in November 1968.
Wolverhampton Wanderers
He joined Wolves debuting as a substitute in a 0–1 defeat to rivals West Bromwich Albion on 12 April 1969. He did not feature again though until 12 September 1970, when he scored his first of many goals in a 2–2 draw at Chelsea. During his time at Molineux Hibbitt won the League Cup in 1974 and 1980 scoring in the 1974 final. He played in the 1972 UEFA Cup Final where the club lost narrowly to countrymen Tottenham Hotspur. He also helped the club win two promotions back to the top flight. He finally left Wolves in 1984 on a free transfer. In total, he played 544 games for Wolves, scoring 114 goals; the second most appearances a player has made in Wolves history. In 2011 he was inducted to the Wolverhampton Wanderers 'Hall Of Fame'.
Coventry City
He joined Coventry City in 1984. He spent two seasons at Highfield Road.
Bristol Rovers
He joined Bristol Rovers in 1986. There his playing career came to an abrupt halt in February 1988 when he broke his leg playing against Sunderland. He remained with the Rovers after this as assistant to manager Gerry Francis. They won the team win the Division 3 title in 1990.
Walsall
After this success, he was appointed manager of Walsall. He took them to the Division 3 play-offs in 1993/94.
Cardiff City
He took over as manager of Cardiff City from Eddie Mayin the summer of 1995. He moved upstairs to a director of football role with the arrival of Phil Neal the following year. However, Neal's time in charge was brief, departing after only a couple of months to become assistant to Steve Coppell at Manchester City. Hibbitt took over the team once again before handing the reins over to Russell Osman. Osman's period in charge was short however and in December 1996 Hibbitt took over team affairs for the third time, before being replaced by Frank Burrows in February 1998. The arrival of Burrows saw Hibbitt revert to his role as director of Football. His influence was now greatly diminished however, and at the end of the 1997/98 season he left the club altogether.
Later career
He returned to management with non-league Hednesford Town in September 2001. Despite rescuing the club from a poor start and preserving their place in their division, he was dismissed at the end of the season. He now works for the Premier League, reviewing the performances of the referees. He also assists in training local football team Kingswood who play in the Gloucestershire County League.