Soft-close fitting for a sliding sash or a tilt-and-slide sash for the controlled movement of the sash from a parked position into a closed position, - with two movement elements (A, B) being movable in the longitudinal direction to enable a longitudinal movement of the sash, wherein the two movement elements (A, B) are connected by a connecting rod (z), which maintains them at a fixed distance to each other and allows their simultaneous movement; - with a pivotable deployment arm (a, b; b') attached to each of the two movement elements (A, B); - with a latching means (r, f') for maintaining a pivoted position of deployment of the pivotable deployment arms (a, b) during a movement of the fitting by means of the movement elements (A, B); - with an auxiliary arm (h, h') being rotationally coupled (a 2, b 2 ') to one (a, b') of the deployment arms on one of its ends and longitudinally guided on the other end along the connecting rod (z) on a coupling element (12, 12'); characterized by - a damping element (10, 10') being coupled on one end to the slidable end of the auxiliary arm (h, h') and being arranged (w, 10a') immovably on the other end on the connecting rod (z, z'); - a longitudinal energy storage unit (11, 11'), wherein the storage unit (11, 11') and the damping element are both arranged on the coupling element (12, 12') and the damping element exerts its dampening effect against the force released by the longitudinal energy storage unit (11, 11'), - wherein the energy storage unit (11, 11') stores an energy while the pivotable deployment arms (a, b) are held by the latching means (r, f'), and - wherein the unlatching of the latching means leads to a release of the stored energy, which is released as a force in the direction of the closed position. - with two movement elements (A, B) being movable in the longitudinal direction to enable a longitudinal movement of the sash, wherein the two movement elements (A, B) are connected by a connecting rod (z), which maintains them at a fixed distance to each other and allows their simultaneous movement; - with a pivotable deployment arm (a, b; b') attached to each of the two movement elements (A, B); - with a latching means (r, f') for maintaining a pivoted position of deployment of the pivotable deployment arms (a, b) during a movement of the fitting by means of the movement elements (A, B); - with an auxiliary arm (h, h') being rotationally coupled (a 2, b 2 ') to one (a, b') of the deployment arms on one of its ends and longitudinally guided on the other end along the connecting rod (z) on a coupling element (12, 12'); - a damping element (10, 10') being coupled on one end to the slidable end of the auxiliary arm (h, h') and being arranged (w, 10a') immovably on the other end on the connecting rod (z, z'); - a longitudinal energy storage unit (11, 11'), wherein the storage unit (11, 11') and the damping element are both arranged on the coupling element (12, 12') and the damping element exerts its dampening effect against the force released by the longitudinal energy storage unit (11, 11'), - wherein the energy storage unit (11, 11') stores an energy while the pivotable deployment arms (a, b) are held by the latching means (r, f'), and - wherein the unlatching of the latching means leads to a release of the stored energy, which is released as a force in the direction of the closed position.