Stairlift (1) for fixed staircase and/or escalator, comprising a supporting frame (2), having a main body (2a) extended vertically and a platform (2b) adapted to carry, in cooperation with said main body, the weight of the load to be lifted on said fixed staircase and/or escalator, and a tracked movement device (3) constrained and movable on command with respect to said frame between an operative position (OP1), wherein it moves said stairlift along a fixed staircase or along a sliding plane, and a non-operative position (OP2), wherein it remains raised from said fixed staircase or said sliding plane, said frame further comprising at least one rotating back wheel (4) that rotates around a first horizontal axis (X) and is constrained integrally to said frame, said back wheel (4) being arranged, with respect to said tracked device, so that to contact said sliding plane or a first stair of an escalator, at least when said tracked movement device (3) is in its non-operative position (OP2), and to be raised from the sliding plane or from said first stair of said escalator, at least when said tracked movement device is in its operative position (OP1), said stairlift being characterized by comprising at least one front supporting leg (5) constrained and movable on command with respect to said frame (2) between a first position (PI), in which in cooperation with said back wheel (4), it is in contact with said sliding plane or a further stair of said escalator, and a second position (P2), in which it is raised from said escalator or said sliding plane.