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Abstract We study the P–V criticality and phase transition in the extended phase space of anti-de Sitter (AdS) black holes in higher-dimensional de Rham, Gabadadze and Tolley (dRGT) massive gravity, treating the cosmological constant as pressure and the corresponding conjugate quantity is interpreted as thermodynamic volume. Besides the usual small/large black hole phase transitions, the interesting thermodynamic phenomena of reentrant phase transitions (RPTs) are observed for black holes in all $$d\ge 6$$ d ≥ 6 -dimensional spacetime when the coupling coefficients $$c_i m^2$$ c i m 2 of massive potential satisfy some certain conditions.