The 1979 Calder Cup Playoffs of the American Hockey League began on April 11, 1979. The top three teams from each division qualified for the playoffs. The two division winners earned byes for the Division Semifinals while the other two teams in each division played best-of-5 series. The winners played best-of-7 series with the team that received the first round bye in their division. The winners of each Division Final played a best-of-7 series for the Calder Cup. The Calder Cup Final ended on May 11, 1979 with the Maine Mariners defeating the New Haven Nighthawks four games to zero to win the Calder Cup for the second consecutive year, and the third time in team history. Maine also beat new Haven in the 1978 Calder Cup Final.