The present invention relates to a process for the bonding by adhesion of a cover to a shaped padding, in particular of polyurethane foam, especially for the production of seat cushions. The process includes the step of arranging a cover (1) in a cold-shaping device (2) and fixing it thereto by means of a holding frame (3), then placing an adhesive (4) on the internal walls of the cover (1). The surface of the padding (5) intended to cooperate with the internal walls of the cover (1) is subsequently heated to a high temperature. After a predetermined temperature has been reached the heating is interrupted and the thus heated foam padding (5) is applied to the internal walls of the cover (1) coated with adhesive (4), so as to bring about instantaneous transmission of heat by direct contact with the adhesive (4) leading to extremely rapid setting thereof. The cold-shaping device (2) is then opened and the padding(5) equipped with its cover (1) is removed.