Briffa is a surname. Notable people with the surname include:
Emmanuel Briffa (1875–1955), Canadian theatre decoratorJimmy Briffa (born 1948), Maltese professional footballer and managerKeith Briffa (born 1952), climatologist in the Climatic Research Unit at the University of East AngliaLouis Briffa (born 1971), Maltese poetRoderick Briffa (born 1981), Maltese professional footballerRużar Briffa (1906–1963), Maltese poet, dermatologist, major figure in Maltese literatureTony Briffa (born 1971 Antoinette Briffa), Australian mayor, intersex activist and educator