Palmstierna is a surname. Notable people with the surname include:

Amanda Palmstierna (born 1977), Swedish politician Ebba Palmstierna (1877–1966), Swedish writer and suffragette Ellen Palmstierna (1869–1941), Swedish women's rights and peace activist Erik Palmstierna (1877–1959), Swedish politician and diplomat Jacob Palmstierna (1934–2013), Swedish banker Nils-Fredrik Palmstierna (1919–1990), Swedish Air Force officer