  The Bardeen black hole solution is the first spherically symmetric regular
black hole based on the Sakharov and Gliner proposal which is a modification of
the Schwarzschild black hole. We present the Bardeen black hole solution in the
presence of the de Rham, Gabadaadze, and Tolly (dRGT) massive gravity, which is
regular everywhere in the presence of a nonlinear source. The obtained solution
reduces to the Bardeen black hole in the absence of a massive gravity
parameter, and the Schwarzschild black hole when magnetic charge $g = 0$. We
investigated the thermodynamic quantities, that is, mass (M), temperature
$(T)$, entropy ($S$), and free energy $(F)$, in terms of the horizon radius for
both canonical and grand canonical ensembles. We checked the local and global
stability of the obtained solution by studying the heat capacity and free
energy. The heat capacity changes sign at $r = r_c$. The black hole is
thermodynamically stable with a positive heat capacity $C > 0$ (i.e., globally
preferred with negative free energy $F < 0$). In addition, we studied the phase
structure of the obtained solution in both ensembles.
