Brister is a surname. Notable people with the surname include:
Bubby Brister (born 1962), former American football quarterback Jen Brister (born 1975), stand-up comedian from South London Mark Brister, humanitarian, baptist pastor, and former university president Pat Brister (born 1946), business woman and Republican politician in St Tammany Parish, Louisiana Robert E. Brister, United States Navy officer during World War II Scott Brister (born 1954), former Justice of the Supreme Court of Texas T. C. Brister (1896–1976), former member of the Louisiana House of Representatives from Rapides Parish Wanda Brister (born 1957), American operatic mezzo-soprano and voice teacher