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

Bob Gilstrap (born 1974), American mixed martial artist Chena Gilstrap (died 2002), American football coach Gilstrap baronets, short-lived United Kingdom baronetcy of one baronet (1887–96) Harriet Patrick Gilstrap (1870–1974), American educator and pioneer Hunter Gilstrap (born 1983), American soccer player James Rodney Gilstrap (born 1957), American judge from Texas Jim Gilstrap (born ~1948), American singer Jim Gilstrap (coach) (1942–2007), American football coach Mark Gilstrap (born 1952), American politician from Kansas

Other Gilstrap Township, Adams County, North Dakota, USA Gilstrap, Kentucky