To minimize the amount of air that may enter the damper chamber in a normally closed solenoid valve to stably maintain the damper capacity, the normally closed solenoid valve has a valve housing and a movable element. A cylinder having an open end is formed in one of the valve housing and the movable element. The cylinder has an inner diameter smaller than the outer diameter of a trunk of the movable element. A piston provided on the other of the valve chamber and the movable element is movable relative to the cylinder as the movable member moves. The piston is inserted into the cylinder through its open end to define a damper chamber between the piston and the cylinder. A restricted passage is formed between the damper chamber and the valve chamber through which hydraulic fluid can be moved between the valve chamber and the damper chamber.