Abstract: A floating type disc brake assembly for a two-wheeled vehicle having two pad assemblies one of which is operatively coupled to a caliper and the other to an opposing caliper arm. The caliper assembly is coupled to a fork of the vehicle through a pin disposed in a through-hole in a stationary member of the fork. Recesses are provided in either the stationary member or the pin within the area of the through-hole with elastic members disposed in the recesses to partially fill a portion of the gap left between the stationary member and the pin. Upon application of a sufficiently high torque such as for backward movement of the vehicle, the pin is brought into abutment with the stationary member thereby halting compression of the elastic members and thereby preventing their cracking due to excessive forces.