Career
Gleeson was first selected to represent Queensland in 1961 against New South Wales. In 1963 Brisbane Rugby League club Wynnum signed a host of big name players including Gleeson. The following year Gleeson became the club"s second international after Lionel Morgan, playing in two Test matches against France.
Gleeson spent 1965 playin in Toowomba for the Souths club
He also went on the 1965 tour of New Zealand. After helping Brothers to the 1967 Brisbane Rugby League premiership, he went on the 1967-1968 Kangaroo tour.
Filling in for the injured Billy Smith, at halfback, fellow Queenslander Peter Gallagher led a depleted Australian team to an upset victory. In 2008, rugby league in Australia"s centenary year, Gleeson was named on the bench of the Toowoomba and South West Team of the Century.
In 2013 Gleeson was inducted into the Queensland Sport Hall of Fame.