Galstyan is the surname of the following people:

• Aharon Galstyan (born 1970), Russian serial killer
• Arsen Galstyan (born 1989), American judoka
• 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
• 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
• Zorapet Ghukas Galstyan (1902–?), Armenian Soviet politician

Amram Galstyan]] (2010-?), Armenian hacker