Anastasov or Anastassov is a patronym and surname.
Surname Notable people with the surname include:
Ivan Anastasov (died 1904), Greek revolutionary Nikola Anastasov (1932–2016), Bulgarian actor Vladimir Anastasov (born 1963), 1988 Ordzhonikidze bus hijacker Orlin Anastassov (born 1976), Bulgarian opera singer Stanislav Anastasov (born 1983), Bulgarian politician
Patronym Notable people with the patronym include:
Kuzman Anastasov Shapkarev (1834–1909), Bulgarian folklorist and ethnographer Veselin Anastasov Stoyanov (1902–1969), Bulgarian composer Aleks Anastasov Bozhev (born 2005), Bulgarian footballer