Asberry is both a given name and a surname. Notable people with the name include:
Given name or middle name Roy Asberry Cooper Jr. (1927–2014), American lawyer Roy Asberry Cooper III (born 1957), American politician
Surname Alexander Asberry (1861 – abt. 1903), American politician Dallas Asberry (born 2001), American rapper Darrell Asberry (born 1972), American football coach Reuben Asberry Jr. (born 1980), American drag queen Nettie Craig Asberry (1865–1968), American civic leader and music educator