The invention relates to an injector, in particular, a common-rail injector for injection of fuel into a combustion chamber of an internal combustion engine. An injection valve element, adjustable between a closed position and an open position, is controllable by means of a control valve. The control valve has a control valve element, adjustable between a closed position and an open position by means of an actuator, which in the closed position is an at least almost pressure-equalized and has a sealing line which cooperates in a sealing manner with a control valve seat. The sealing line of the control valve element is lifted off the control valve seat in the open position and hence opens fuel flow from a high pressure region to a low pressure region of the injector. According to the invention, the control valve element has a support region extending over the sealing line in a radial direction to the high pressure region.