Rolf Otto Evald Johansson was born on August 30, 1936 in Göteborg and made his IFK Göteborg debut in the 1955/56 season, which was also the debut season of team mate Nils Johansson. Johansson was part of IFK Göteborg's youth program before making his debute with the first team, and is as a result of that regarded by the club as a home-grown player. At 19 years, 8 months and 12 days, on May 13, 1956, he took part his first competetive game against Djurgårdens IF in an Allsvenskan game that ended 2–1. He has spent two seasons with the IFK Göteborgs first team, and during his career he played in 6 first team games and scored 5 goals. Out of these 6 first team games, 3 were Allsvenskan games.
Rolf Johansson is with his 3 Allsvenskan games number
415 on the list of those who have competed in most Allsvenskan games for IFK Göteborg. 84 year old Johansson completed his last season with IFK Göteborg 1956/57.