An apparatus for attaching a shoe to a gliding element. The apparatus includes a blocking/anchoring mechanism of the shoe in an anchoring zone thereof extending substantially from the front end of the shoe to the area of the metatarso-phalangeal journal zone or in front thereof. The apparatus includes an arrangement for rocking the blocking/anchoring mechanism, this rocking arrangement being positioned in the anchoring zone of the shoe and being designed so as to allow for a predetermined angle of movement of the shoe assembly with respect to the gliding element. Preferably, the maximum angle of movement of the blocking/anchoring mechanism is between about 5° and 30°.