Desidério da Graça Veríssimo e Costa (born April 4, 1934) is an Angolan politician who was Minister of Petroleum from 2002 to 2008.

Costa also oversaw Angola's joining of OPEC by January 2007,[1] as it is now the 2nd leading petroleum exporter in Sub-Saharan Africa, with over 1.3 billion barrels drilled daily in 2005.

He was one of the defendants in the "Process of the fifty", i.e. three criminal proceedings in 1960 for "high treason", i.e. favoring the independence of Angola from colonial rule.

Desidério Costa, who went to school in Portugal during the process of his father, sought refuge in West Germany from prosecution by the PIDE, secret police of the Salazar regime.

The 145th meeting of the OPEC Conference on 11 September 2007 elected Costa as the head of the Angolan delegation to serve as Alternate President for the year 2008.