The present invention relates to a brake system for utility vehicles, comprising an actuation unit, a transmission element and a converter unit, wherein the actuation unit moves the transmission element along a transmission axis, the converter unit being arranged on a wheel axis and comprising at least one piston element. According to the invention, the transmission axis intersects the wheel axis at least in the region of the converter unit, and the transmission element is designed to transmit a force onto the piston element in order to move the latter transverse to the wheel axis.