The letter from Human Rights Foundation (HRF) says the money to pay her comes from "government corruption and human rights violations", reported BBC News.
HRF's Thor Halvorssen says in the letter "your participation in a performance sponsored by a thuggish kleptocratic dynasty involved in gross human rights violations would be improper".
Minaj is due to perform at a Christmas party hosted by mobile phone company Unitel.
Minaj is not the only performer to be criticised by rights groups for their choice of gigs.
In 2011 Nelly Furtado said that she would give away 615,000 pounds she was paid to perform for the family of Libyan leader Muammar Gaddafi.
Representatives for Minaj and the Angolan government are yet to comment.