Club Kenny played his club hurling with
Tynagh and enjoyed much success during a lengthy career. After losing back-to-back championship deciders in 1918 and 1919, Tynagh qualified for a third successive county final in 1920. A defeat of
Kilconieron gave Kenny his first
championship medal. After the suspension of the championship the following year, Tynagh reached the county decider once again in 1922.
Galway City were defeated on that occasion with Kenny winning a second championship medal. Tynagh made it two-in-a-row in 1923 with Kenny adding a third medal to his collection following a defeat of
Ardrahan. Once again the championship was suspended in 1924, however, Tynagh continued their dominance on its resumption by reaching the county final again in 1925.
Craughwell were defeated on this occasion as Kenny won his fourth championship medal. After two years of no championship activity, Tynagh defeated
Peterswell in the championship decider of 1928. It was Kenny's fifth and final championship medal.
Inter-county Kenny first came to prominence on the inter-county scene as a member of the Galway senior team as captain in 1921. He enjoyed little success in his first two years on the team, however, Galway gave a good account of themselves in a narrow defeat by
Tipperary in the 1922 All-Ireland semi-final. In 1923 Kenny was captain as Galway qualified for their first All-Ireland final in thirty-six years. After beating reigning champions
Kilkenny at the penultimate stage, Galway now faced
Limerick who were bidding for a third All-Ireland title in seven years. A high-scoring game developed, however, at half-time the sides were level. A hat-trick of goals by
Leonard McGrath and powerful displays by
Mick Gill and
Mick Derivan helped Galway to a 7-3 to 4-5 victory. It was a first
All-Ireland medal for Kenny, while he also had the honour of being the first Galwayman to lift the
Liam MacCarthy Cup. Kenny was Galway captain again in 1924. That year he guided the team to a second successive All-Ireland decider with
Dublin providing the opposition. Galway played with the wind in the first-half and led by three points at the break. Two goals by Dublin forward
Garrett Howard and a great goalkeeping display by
Tommy Daly ensured a 5-3 to 2-6 defeat for Galway. Kenny retired from inter-county hurling following this defeat. ==Personal life==