The invention relates to a pneumatic vehicle tyre having a tread which is divided by circumferential channels (3, 4) into profile positives which run in encircling fashion in a circumferential direction, wherein said profile positives include at least one profile rib (1, 2) which runs in encircling fashion in the circumferential direction and in which there run transverse channels (8, 9, 10), which transverse channels are formed parallel to one another in the manner of sipes and issue into at least one circumferential channel (3, 4) which delimits the profile rib (1, 2), and which transverse channels, at least in a section of the extent thereof close to the rib outer surface, are widened by way of a bevel (11, 12, 13). The transverse channels (8, 9, 10), which are formed in the manner of sipes, run in arcuate fashion relative to the circumferential channel (3, 4), wherein the bevels (11, 12, 13) are formed in each case on that channel flank (14b, 14'b, 14''b) of the transverse channels (8, 9, 10) which runs at the inner side of the arc, and wherein the transition region (6a, 7a) between that channel flank (6, 7) of the circumferential channel (3) into which the transverse channels (8, 9, 10), which are formed in the manner of sipes, issue and the outer surface of the profile rib (1, 2) is of rounded form.