Friday's statement from the justice secretary says the prisoners died overnight at the Agricultural Penitentiary of Monte Cristo. It did not provide details.
A police statement said officers had been deployed to the prison.
Security experts have predicted more violence in Brazil's gang-controlled prison system in the wake of the massacre earlier this week in which members of one drug gang butchered inmates from a rival group.
The top security official in the state of Roraima, Uziel de Castro, blamed Friday's violence on the Sao Paulo-based First Capital Command (PCC) drug gang, according to a report on the website of the Estado de S.Paulo newspaper.
Earlier this week, it was primarily members of the PCC who were among the 56 dead at a prison in nearby Amazonas state, killed by the North Family drug faction, believed to dominate the traffic of cocaine from Colombia and Peru in that region.
The North Family is allied with the Rio de Janeiro-based Red Command drug gang, Brazil's second most powerful faction after the PCC.
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