A fuel injector includes an injector body that defines a fuel inlet, a drain outlet and a nozzle outlet, and has disposed therein a nozzle chamber, a needle control chamber and a valve chamber. The needle control chamber is fluidly connected to the drain outlet through a drain passage that includes the conical seat, is fluidly connected to the nozzle chamber through a Z orifice, and fluidly connected to the valve chamber through an A orifice. The nozzle chamber is fluidly connected to the valve chamber by a pressure passage that includes an F orifice that opens through a flat seat. A control valve member is trapped to move between contact with conical seat and contact with the flat seat. An electrical actuator is operable to push the control valve member away from the conical seat toward the flat seat when energized. A direct control needle valve has an opening hydraulic surface positioned in the nozzle chamber and a closing hydraulic surface positioned in the needle control chamber. The fuel injector may include first and second electronically controlled valves for independently injecting a gaseous fuel and a liquid fuel.