IFK won their first Allsvenskan title in 1934–35, the ten previous seasons of the league saw the club finish in the top four. Swedish football was dominated by teams from Gothenburg during these years, but IFK Göteborg were surprisingly relegated in 1937–38, although the team was promoted back to Allsvenskan the next season. Back in the highest division, IFK finished second, with the league continuing despite the outbreak of World War II. IFK won another title in 1941–42 with a strong team, but the rest of the decade saw mixed results. The 1940s team included the talented Gunnar Gren, who became the top scorer in 1946–47. He was also awarded Guldbollen as the best player in Sweden, and won an Olympic gold medal with the Swedish team at the 1948 Olympics. When Gren left in 1949, IFK were relegated from Allsvenskan the following season. As happened the last time IFK played in a lower league, they were promoted directly back to Allsvenskan after one season in Division 2. IFK went on to compete in a European Cup, the European Champion Clubs' Cup, for the first time in 1958, but were eliminated in the second round by SC Wismut. In 1959, the all-time Allsvenskan record attendance of 52,194 was set when IFK played Örgryte IS at Nya Ullevi.