Alcocer is a surname. Notable people with the surname include:
Alberto Alcocer (born 1942), Spanish businessman Alberto Alcocer y Ribacoba (1886–1957), Spanish politician Alejandro González Alcocer (born 1951), Mexican politician Eduardo Quian Alcocer (born 1967), Mexican politician Érika Alcocer Luna (born 1974), Mexican singer Ignacio Alcocer (1870–1936), Mexican politician Jorge Alcocer Varela, Mexican healthcare professional José Miguel Guridi y Alcocer (1763–1828), Spanish-Mexican politician Juan Alcocer Flores (born 1955), Mexican politician Mariano Palacios Alcocer (born 1952), Mexican politician Máximo Alcócer (1933–2014), Bolivian footballer Raúl Molina Alcocer (born 1976), Spanish footballer Teresa Alcocer y Gasca (born 1952), Mexican politician Víctor Alcocer (1917–1984), Mexican actor