Meehan was drafted by the Toronto Maple Leafs in the 1963 NHL Amateur Draft, fourth round, 21st overall. He played for the National Hockey League's Toronto Maple Leafs, Philadelphia Flyers, Buffalo Sabres, Vancouver Canucks, Atlanta Flames, Washington Capitals, as well as the Ontario Hockey Association's Toronto Marlboros, American Hockey League's Rochester Americans, CPHL's Tulsa Oilers, Western Hockey League's Phoenix Roadrunners, Seattle Totems, and the World Hockey Association's Cincinnati Stingers. He served as captain for both the Sabres and Capitals.