Söderström is a surname of Swedish origin, and Søderstrøm a surname of Norwegian origin. Both mean "south stream; or, river"; and both are commonly anglicized as Soderstrom. People with those surnames include:
Bruno Söderström (1881–1969), Swedish track and field athlete
Christian Söderström (born 1980), Swedish ice hockey player
Dan Söderström (born 1948), Swedish ice hockey player
Elisabeth Söderström (1927–2009), Swedish soprano noted for her performances of both opera and song
Fredrik Söderström (born 1973), Swedish footballer
Gustaf Söderström (1865–1958), Swedish athlete who won a gold medal at the 1900 Olympic Games
Jonatan Söderström (AKA "Cactus", active from 2008), Swedish independent video game developer
Marit Söderström (born 1962), Swedish sailor who competed in the 1988 Summer Olympics
Per Søderstrøm (born 1943), Norwegian handball player who competed in the 1972 Summer Olympics
Reuben G. Soderstrom (1888–1970), American labor union leader in Illinois
Steve Soderstrom (born 1972), American baseball player
Thomas Robert Soderstrom (1936–87), American agrostologist
Tim Söderström (born 1994), Swedish footballer
Tommy Söderström (born 1969), Swedish ice hockey goaltender
Ulf Söderström (born 1972), Swedish ice hockey player
Victor Söderström (born 1994), Swedish footballer