Gravitational decoupling allows us to obtain new solutions of general relativity. In this paper, we obtain new solutions of the Einstein field equations which describe non-singular black holes. We consider Hayward and Bardeen regular black holes as seed spacetimes and apply gravitational decoupling to obtain a new non-singular solution. We show that an anisotropic energy–momentum tensor can spoil the regularity condition in the centre of a black hole. We solve the Einstein field equation and obtain new solutions that possess a de Sitter core and have Schwarzschild behaviour in infinity. We also analyse the thermodynamic properties of the obtained solutions. © 2024