Hans Malmstrøm should not be confused with Hans Malmström.
| Birth Date: | 15 November 1912 |
| Birth Place: | Frederiksberg, Denmark |
| Death Place: | Ordrup, Denmark |
| Sport: | Swimming |
| Club: | P08, København |
| Show-Medals: | yes |
Hans Malmstrøm (15 November 1912 – 15 September 1990) was a Danish swimmer who won a bronze medal in the 200 m breaststroke at the 1934 European Aquatics Championships. He competed in the same event at the 1936 Summer Olympics, but did not reach the final.