Bergsma is a toponymic surname of West Frisian origin. People with the name include:
Alaina Bergsma (b. 1990), American volleyball player
Bert Bergsma (b. 1955), Netherlands Olympic swimmer
Deanne Bergsma (b. 1941), South African ballerina
Han Bergsma (b. 1961), Dutch Olympic sailor
John Bergsma (born 1971), American Catholic theologian
Jorrit Bergsma (born 1986), Dutch speed skater
Léon Bergsma (b. 1997), Dutch football player
Titia Bergsma (1786–1821), Dutch woman who visited Japan in 1817
William Bergsma (1921–1994), American composer