Bucur is a Romanian surname. Notable people with the surname include:
Alina Bucur, Romanian-born American mathematician Dragoș Bucur (born 1977), Romanian actor Florica Bucur (born 1959), Romanian rower Gheorghe Bucur (born 1980), Romanian football player Maria Bucur (born 1968), Romanian historian Olimpiu Bucur (born 1989), Romanian footballer