A device to fix a smaller object (a book, rolled up articles of clothing, a fabric bag, newspaper, lunch box or the like) to be transported securely on the handlebar and or the handlebar support of a vehicle, in particular a two-wheeled vehicle and more particularly a bicycle. The transport device has three fixing elements (3) which are fixedly attached to the handlebar (1) and/or the handlebar support (2). Each of the fixing elements (3) is provided with a retaining device (4) (ring, figure-of-eight ring, eye, tab or the like), through which a securing element (5) is movably fed. The fixing element (5) can be elastic (e.g. rubber or the like), or inelastic (e.g. cable, belt, tie-down strap, chain or the like). The fixing element (5) is fed twice through the retaining devices (4) such that an object can be fixed easily and then transported by being gripped between the at least two layers of the fixing element (5). The fixing element (5) can be fed through a cord stopper (6) and securely tied off with a knot or the like (7). The fixing element (4) can be tightened by the cord stopper (6), thus assisting, if necessary, in securing the object. The transport device has an extremely economical use of materials and is extremely low weight. The device does not significantly alter the appearance of the vehicle and can be fastened to the vehicle without drilling or adhesive bonding.