Power played with Kerry's minor football team for two years and was captain of the side when they lost to Galway in the 1970 All-Ireland final. Power was a substitute on the Kerry senior team that lost in a replay to Offaly in the All-Ireland final of 1972. He played with the under-21 side for three years, winning an All-Ireland medal in 1973. Two years later in 1975 Power had a very successful year with the Kerry senior team. He captured his very first Munster Championship and All-Ireland medals at senior level, under the new management of the legendary Mick O'Dwyer. It was the beginning of a glorious era for Kerry football and Power played a key role in orchestrating much of the success.