To provide a fuel feeding device of DME engine rapidly detecting a leakage of a fuel caused by a damage of an injector or the like.

The fuel feeding device is provided with a control device 19 for determining a control pressure of a common rail 6 adapted for the present operation state based on a load (accelerator opening signal 20a) and the revolution number (revolution number signal 21a) of the DME engine and outputting a valve-closing instruction (valve-closing instruction signal 11a) to a pressure control valve 11 until an actual pressure of the common rail arrives at the control pressure. The control device 19 is provided with a means for calculating a standard valve-closing period of the pressure control valve 11 adapted for the present operation state based on the load and the revolution number of the DME engine; and a means for judging that an abnormality is generated on the injector 8 when the actual valve-closing period of the pressure control valve 11 becomes longer than the standard valve-closing period.