An engine fuel supply control device is configured to stop supplying fuel to an engine when specific fuel cut-off condition has been met. The timing of the fuel cut-off is delayed depending on an operating state of the vehicle. Preferably, the engine fuel supply control device has an operating state detection section that detects an operating condition (e.g., a clutch position or a shifting operation), and a fuel supply stoppage section that stops supplying fuel to the engine when a specific delay time has elapsed since the specific fuel cut-off condition was met. Preferably, the fuel supply stoppage section selectively sets the specific delay time to a different delay time depending upon the detected operating condition detection, e.g., a first delay time is set if either the clutch is detected as disengaged or a shifting operation is detected as being in progress, otherwise a different delay time is set.