Disclosed is a soft top for a motor vehicle, comprising longitudinal struts that span a roof opening and a flexible roof skin which spans the width of the vehicle and is fastened to a windshield frame in the front and a bow spanning the width of the vehicle in the rear in the mounted state. One respective longitudinal strut that delimits the roof skin in the transversal direction of the vehicle is embodied as a lateral rail which can be connected at least to one lateral vehicle element. In order to put the soft top down, it can be folded in the transversal direction of the vehicle, the roof skin and the longitudinal struts being joined so as to form a pre-assembled unit.