Grafström is a Swedish surname. Notable people with the surname include:
Anders Abraham Grafström (1790–1870), Swedish historian, priest, and poet Bengt Grafström (born 1946), Swedish radio and television presenter Gillis Grafström (1893–1938), Swedish figure skater Mattias Grafström (born 1980), Swiss–born Swedish football administrator Ruth Sigrid Grafstrom (1905–1986), American illustrator Sven Grafström (1902–1955), Swedish diplomat Thyra Grafström (1864–1925), Swedish textile artist