Byström is a Swedish surname. Notable people with the surname include:
Johan Niclas Byström (1783–1848), Swedish sculptor Malin Byström, Swedish operatic soprano Margaretha Byström, Swedish actress, writer and director Oscar Byström (composer) (1821–1909), Swedish composer and scholar Oscar Byström (actor) (1857–1938), Swedish actor Thomas Byström (1893–1979), Swedish equestrian
See also Bystrom, California, a census-designated place in Stanislaus County, California