A sergeant major by profession, Antti Rissanen was a skilled rifleman who won multiple medals representing Finland at international competitions. In addition to becoming the Finnish champion in the military rifle in both 1959 and 1962, Rissanen also won eight Finnish Defence Forces championships. After winning silver in the military rifle at the 1961 Nordic Championships, he then won bronze in the 300 metres standard rifle 3 positions team event at the 1962 World Championships in Al-Qahira (Cairo). Two years later Rissanen placed 10th in the free rifle event at the Tokyo Olympics, scoring 1,124 points out of a possible 1,200.