The Canadian began playing the game at the age of ten. Two years later, having already made his first century break, he had the audacity to challenge his idol, Cliff Thorburn for $2, he lost - but paid up.
By the age of 15 he was playing many money matches. By 1978 aged 20 he had qualified for the world amateur championships where he lost in the semi-final to Cliff Wilson following which he turned professional.
Throughout his career he was noted for his white suits and shoes.
He reached the Crucible at his first attempt in 1979 but lost in the first round to Fred Davis. A few months later however he got his revenge over Thorburn, beating him in the final of the Canadian Professional Championship.
In the 1980 World Championship, he became the youngest to reach the semi-finals, at that time, losing 13-16 to Alex Higgins. The Toronto cueman climbed to 4th in the rankings on the back of several quarter and semi-final appearances. This was topped off by a second world semi-final, this time losing to Jimmy White. It was also against White a few weeks earlier that Kirk recorded a 147 in the semi-final of the Masters at Wembley.
He won the Canadian title again in 1981 and 1983 but still had not reached the final of a major event. In fact, he had lost no less than nine major semi-finals before, in 1985 he met South African, Silvino Francisco, in the Dulux British Open final. Although Stevens was a heavy favourite, Francisco was not ranked in the top 16, he lost 12-9.
After that match, Francisco accused Stevens of taking stimulants and a few weeks later he admitted to an addiction to cocaine. He went back to Canada that summer for treatment and returned to reach three more ranking quarter-finals the next season.
After seven seasons in the top 16 he dropped out of that group at the end of the 1986/87 season and a year later was out of the top 32 as well. He played on until the end of the 1992/3 season but then decided to return to Canada and straighten himself out.
Things improved recently and he won back a place on the main tour for the 1998/99 season but did not do enough to retain his place for the following season. The Canadian almost managed to get back again for the 2000/01 season but lost in the final North American qualifier to Bob Chaperon.
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