Năstase is a Romanian surname. Notable people with the surname include:
Adrian Năstase (born 1950), Romanian politician Andrei Năstase (born 1975), Moldovan activist, lawyer, and politician Doru Năstase (1933–1983), Romanian film director and actor Gheorghe Năstase (fl. 1910s), Bessarabian politician Horațiu Năstase, Romanian physicist and professor Ilie Năstase (born 1946), Romanian tennis player Liliana Năstase (born 1962), Romanian heptathlete Mihnea-Ion Năstase (born 1967), Romanian tennis player, nephew of Ilie Năstase Valentin Năstase (born 1974), Romanian footballer who played as a defender Vasile Năstase (born 1962), Romanian rower Viorel Năstase (born 1953), Romanian footballer who played as a forward
See also Năstase, a village in Mihălăşeni Commune, Botoşani County Nastasen (fl. 335–315/310 BCE), king of Kush