Power first came to prominence on the inter-county scene as a member of the Kilkenny minor hurling team. He won a Leinster title in this grade in 1975 before later winning an All-Ireland medal following a victory over Cork. Power later joined the county under-21 team and won both Leinster and All-Ireland honours in 1977.
Power later joined the Kilkenny senior team and won a National Hurling League medal in 1982. He later won his first Leinster title before making a first All-Ireland final appearance. Cork were the opponents that day, however, the Leesiders provided little opposition and Power won his first senior All-Ireland medal. His performance throughout the championship later earned Power a coveted All-Star award. In 1983 he won a second consecutive National League medal before later collecting a second provincial title. Cork were Kilkenny’s opponents again in the championship decider and, once again, the Leesiders fell to ‘the Cats’ giving Power a second All-Ireland medal. Kilkenny lost their provincial crown for the next few years, however, the team returned in 1986 with Power winning a third National League medal. He later picked up a third Leinster medal, however, his side were later defeated by Galway in the All-Ireland semi-final. In spite of this loss he still collected a second All-Star award. In 1987 Power added a fourth Leinster medal to his collection. Kilkenny later reached the All-Ireland final, however, the side were defeated by Galway once again. Three years later in 1990 Power won a fourth National League medal and in 1991 he collected a fifth and final Leinster title. He later played Tipp in a final All-Ireland final appearance, however, he ended up on the losing side on that occasion. Power retired from inter-county hurling following this defeat.