A valve for controlling liquids which for its actuation is provided with a liquid-filled coupling chamber, which is disposed between an actuator piston of a piezoelectric actuator and a piston that actuates a valve member. To compensate for liquid losses suffered by the coupling chamber, which is briefly at high in each work cycle, the pressure difference that exists during the return stroke of the actuator piston between the coupling chamber and the opposite sides of the actuator piston and of the that actuates the valve member that are remote from the coupling chamber is utilized to achieve refilling in valveless fashion along gaps. The valve is used for use in fuel injection systems for internal combustion engines of motor vehicles.