Vehicle pneumatic tyre for utility vehicles having a carcass (5), having a belt (9) which is built up radially outside the carcass (5) and having a profiled tread (10) which is built up on the belt (9), radially outside the belt (9), wherein the belt (9) is formed from at least four belt layers (14, 17, 13, 15) arranged lying one on the other from radially on the inside to radially on the outside, wherein the first belt layer (14) which is arranged furthest on the inside in the radial direction R is embodied with parallel strength members (24) embedded in rubber, the second belt layer (17) which is arranged on the first belt layer (14) is embodied with parallel strength members (27) embedded in rubber, the third belt layer (13) arranged on the second belt layer (17) is embodied with parallel strength members (23) embedded in rubber, and the fourth belt layer (15) arranged on the third belt layer (13) is embodied with parallel strength members (25) embedded in rubber, characterized in that the third belt layer (13) and the fourth belt layer (15) are working layers in which the strength members (23) of the third belt layer (13) enclose in their orientation an angle alpha with respect to the circumferential direction U where 10 degrees < alpha < 45 degrees and the strength members (25) of the fourth belt layer (15) enclose in their orientation in each case an angle gamma with respect to the circumferential direction U where 10 degrees <= gamma <= 45 degrees, wherein, when viewed in the circumferential direction U of the vehicle tyre, the strength members (23) of the third belt layer (13) have an opposed axial direction of inclination to that of the strength members (25) of the fourth belt layer (15), in that the strength members (24) of the first belt layer (14) enclose in their orientation an angle beta with respect to the circumferential direction U where 0 degrees <= beta <= 5 degrees, and the strength members (27) of the second belt layer (17) enclose in their orientation an angle epsilon with respect to the circumferential direction U where 40 degrees <= epsilon <= 75 degrees.