  In this paper, we discuss the possibility of the anti-evaporation of
degenerate Bardeen de-Sitter black hole. We solve the perturbation equations
around the Nariai space-time. The solution of one of the perturbations related
to the horizon size demonstrates that horizon of such black hole is constant.
The other perturbation is also found to be stable. We further study
thermodynamical properties of such black holes. We observe double phase
transition at the Nariai limit.
