This invention achieves a setting of a reduced flow area which is active after a closed position of the valve. The solenoid valve has a seat valve with a closing element which is surrounded with a clearance by a hollow cylindrical shoulder. Formed in a valve body provided with the valve seat of the seat valve is an annular channel into which the shoulder engages with a slight radial gap in the closed position of the valve. On the outlet side of the seat valve, the pressure fluid channel leads to the two end faces of a magnet armature which actuates the seat valve. Given a pressure gradient between the pressure fluid inlet and the pressure fluid outlet, after a closed position of the solenoid valve the seat valve is capable of assuming a partly open position, since valve opening forces are compensated by pressure disequilibrium at the magnet armature. The valve can be used in slip-controlled hydraulic brake systems of motor vehicles.