A valve for vehicle tires, in particular a snap-in valve, having a shell-like plastic material of a hardness in the condition as supplied of about 65 to 75 Shore A, which has a base portion for connection to a rim or the like and a valve cylinder having an external screwthread for a valve cap, wherein an axial opening in the valve cylinder, in the axial direction, is of different diameters and accommodates a valve insert which is mounted axially displaceably against a force storage means, is to be such that manufacture and also operational reliability are improved.That is achieved in that the shell-like body is combined with the valve cylinder to provide a valve body (11) and same is produced in one piece from the plastic material in such a way that the hardness at the inside surfaces (26, 27) of the axial opening of the valve cylinder is higher, at least in the region adjoining the valve insert (12), than at the base portion (14). In that connection the harder region is to have a hardness of about 50 Shore D, in the condition as supplied.