A fuel injection apparatus for an internal combustion engine includes a fuel supply passage and a valve arrangement for controlling fuel pressure within the fuel supply passage. The valve arrangement includes a valve member movable between an open position in which the fuel supply passage communicates with a low pressure fuel drain and a closed position in which communication between the fuel supply passage and the low pressure fuel drain is prevented. The valve arrangement comprises damping means for controlling and/or damping movement of the valve member between the closed and open positions.