Grier was born in Winston-Salem, North Carolina, U.S., the daughter of Gwendolyn Sylvia (née Samuels), a homemaker and nurse, and Clarence Ransom Grier, who worked as a mechanic and Technical Sergeant in the United States Air Force. Grier is African-American, and also has Native American, European, and Asian ancestry. She has one sister and one brother, and is a cousin of football player Rosey Grier. Because of her father's military career, her family moved frequently during her childhood, to various places such as England, and eventually settled in Denver, Colorado, where she attended East High School. While there she appeared in a number of stage productions, and participated in beauty contests to raise money for college tuition toward Metropolitan State College.