Jarl Sune Malmström (28 October 1897 – 17 December 1961)[1] was a Swedish male tennis player who represented Sweden in the Davis Cup and the Olympic Games.

In the singles event he reached the quarterfinal after a bye in the first round and wins against Ladislav Žemla and Charles Simon.

With compatriot Carl-Erik von Braun he lost in the first round of the doubles event against Jean Washer and Albert Lammens.

[3] Malmström participated in the 1920 Wimbledon Championships, playing in the singles and doubles events.

With countryman Carl-Erik von Braun he reached the third round of the doubles event in which Algernon Kingscote and James Cecil Parke proved too strong.