Coached by Tim Sheens and captained by Noel Goldthorpe, they competed in the National Rugby League.
The Round 25 victory over the Western Suburbs Magpies turned out to be the club's most important game of the season.
Heading into the match, the Cowboys sat in 16th place, one point ahead of the bottom-placed Magpies.
In Round 26, the Cowboys played the North Sydney Bears in their final ever premiership appearance.
In 2014, Green returned to the club as head coach, leading them to their maiden premiership victory in 2015.