Sture "Stöttan" Gillström (3 December 1908 – 28 January 1978) was a Swedish football, ice hockey and bandy player, known for representing Hammarby IF in all three sports.

On 2 August 1925, at the age of 16, Gillström debuted in the senior team, in the first fixture of the Division 2 campaign, and scored two goals as Hammarby won 3–2 against Sundbybergs IK.

[3] Gillström established himself as an important offensive player in Hammarby, competing in the Swedish second tier, and was the club's top scorer during four seasons.

[2] Gillström also played ice hockey and won two Swedish championships, in 1932 and 1933, with Hammarby,[5][6] the club's first domestic titles.

[3] As a player in the men's senior team, Gillström helped establish Hammarby among the top bandy clubs in Sweden at the end of the 1920s and the beginning of the 1930s.