A luggage rack and removable block with anti-theft lock for two-wheeled vehicles. The main body has two rigid material rods descending at two consecutive angles and with opposite openings of about 45.degree. each, towards the back of the vehicle over the back wheel, at the upper and distal ends of the back wheel. Two washers are provided as appropriate fixing elements and the back ends are connected to a rigid material rectangular body which in turn provides the necessary supporting elements for saddlebags with a rigid material tubular handle and for a rectangular bag to be located on top of the arrangement. On both sides of the rigid rectangular body, two V-shaped rigid rods are provided with two rigid washers which serve as fastening elements that are connected to the axle of the back wheel of the vehicle. On both sides of the upper surface of the rigid material rectangular body, respective internal and external semicircular moldings are located as housings for the rigid material tubular handles of the saddlebags, and for the rigid material tubes located on the lower surface of the upper rectangular bag. Having located the fixing elements in their housings, they are shackled by the longitudinal passage to body of the vehicle and of the arrangement from the back to the front by a U-shaped rigid material rod with a cylindrical lock with a key.