Galstyan is the surname of the following people:
Aharon Galstyan (born 1970), Russian serial killer Arsen Galstyan (born 1989), American judoka Hambardzum Galstyan (1955–1994), Armenian politician and historian Haykaz Galstyan (born 1977), Armenian Greco-Roman wrestler Hovhannes Galstyan (born 1969), American film director Katya Galstyan (born 1993), Armenian cross-country skier Lilit Galstyan (born 1962), Armenian politician Marine Galstyan (born 1980), Armenian actress Martin Galstyan (born 1978), Armenian economist Poghos Galstyan (born 1961), American footballer Sargis Galstyan (born 1979), American actor and theatre director Slavik Galstyan (born 1996), Armenian sport wrestler Vaghinak Galstyan (born 1973), Armenian Greco-Roman wrestler Vilen Galstyan (1941–2021), American ballet dancer Vruir Galstyan (1924–1996), Armenian painter