Method for excavating drifts, tunnels, stopes, caverns or the like, with tools capable of operating in an undercutting manner on a rock face, mounted on tool arms, said tool arms being mounted on a head rotating about a reference axis, in the direction of excavation, so as to pivot radially relative to said reference axis, comprising cutting in an undercutting manner, with at least one tool on a tool arm, a central region of the rock face by pivoting said tool arm radially from the outside inwards, and cutting, also in an undercutting manner, with at least one other tool on another tool arm, an outer region surrounding the central region of the rock face by pivoting said other tool arm radially from the inside outwards.