Abstract: A high capacity crane comprises a structure which is rotatable about a vertical axis on a corner frame supported on the ground and which supports a jib for raising a load and a counter-jib from which is suspended a counter-weight, the counter-weight being connected to the structure, wherein the counter-weight has a mass such that it cannot be raised from the ground by the load but is movable along the ground by means of an air cushion located beneath the counter-weight and connected to a compressed air supply and apparatus for regulating the pressure of the air supplied thereto.