A vehicle provided with at least two windscreen wiper devices each comprising an elastic, elongated carrier element, as well as an elongated wiper blade of a flexible material, which can be placed in abutment with a windscreen of the vehicle to be wiped, each wiper blade including opposing longitudinal grooves on its longitudinal sides, in which grooves spaced-apart longitudinal strips of the carrier element are disposed, wherein neighboring ends of longitudinal strips are interconnected by a respective connecting piece, which windscreen wiper devices each comprise a connecting device for a respective oscillating arm, with the interposition of a joint part, with the special feature that each joint part and its corresponding oscillating arm comprise mutually cooperating protrusion/recess means resulting in an asymmetric form of joint part and of oscillating arm with the respect to their respective middle longitudinal planes, seen in vertical direction.