A windshield wiper system (3, 3', 10, 20) for wiping a windshield of a vehicle, wherein the wiper system includes: • a wiper mounted on a movable support element (11, 21); • a guiding device (12, 13; 22) for guiding the support element (11, 21) along a predefined trajectory; • a motor (15; 24) mounted on the support element (11, 21) and arranged for providing traction power to move the support element along the predefined trajectory; the wiper system is arranged to move the wiper, relative to the windshield, with a translation movement between first and second positions (P1, P2), and with a rotation movement around a rotation axis perpendicular to the windshield between the second position and a third position, characterised in that the guiding device includes a first rail and a second rail; wherein the first rail is adapted to guide the support element in translation between the first and second positions (P1, P2); and wherein the second rail comprises a first portion of rail and a second portion of rail, the first portion of rail being parallel to the first rail and adapted to guide the support element in translation between the first and second positions (P1, P2), and the second portion of rail extending from the first portion of rail with a curved shape around the rotation axis, the second portion of rail being further adapted to guide the support element in rotation around the rotation axis between the second and third positions (P2, P3), and in that the system includes a first guiding wheel engaged with the first rail and one or several second guiding wheels engaged with the second rail, the first guiding wheel acting as a pivot allowing a rotation movement of the support element around the rotation axis when the wiper is in the second position. • a wiper mounted on a movable support element (11, 21); • a guiding device (12, 13; 22) for guiding the support element (11, 21) along a predefined trajectory; • a motor (15; 24) mounted on the support element (11, 21) and arranged for providing traction power to move the support element along the predefined trajectory; the wiper system is arranged to move the wiper, relative to the windshield, with a translation movement between first and second positions (P1, P2), and with a rotation movement around a rotation axis perpendicular to the windshield between the second position and a third position, characterised in that the guiding device includes a first rail and a second rail; wherein the first rail is adapted to guide the support element in translation between the first and second positions (P1, P2); and wherein the second rail comprises a first portion of rail and a second portion of rail, the first portion of rail being parallel to the first rail and adapted to guide the support element in translation between the first and second positions (P1, P2), and the second portion of rail extending from the first portion of rail with a curved shape around the rotation axis, the second portion of rail being further adapted to guide the support element in rotation around the rotation axis between the second and third positions (P2, P3), and in that the system includes a first guiding wheel engaged with the first rail and one or several second guiding wheels engaged with the second rail, the first guiding wheel acting as a pivot allowing a rotation movement of the support element around the rotation axis when the wiper is in the second position.