Born in Dublin, he began his radio career in the 1940s. He was editor, producer and presenter of the popular 'Sports Stadium' programme. His first soccer international commentary was the game against Argentina at Dalymount Park in 1951. He went on to cover many famous games for radio, including the 1957 World Cup qualifier against England.
A life-long Shamrock Rovers and Manchester United supporter, he also wrote a column in the 'Evening Press' newspaper. Although best-known as a soccer commentator, Greene also commentated on athletics and cricket and was Head of Sport in RTÉ Radio. He covered his last soccer international for radio in 1985, the year of his official retirement.