A control device has a CPU for determining an opening time and a conversion time, set in a non-injection period between preceding and present injections, in an interception process every fuel injection, and a control circuit for controlling a converting unit, independent of the operation of the CPU, to convert an analog signal, indicating fuel pressure of an injector, into a converted value at the conversion time. The CPU determines a closing time from the opening time and the converted value in another interception process. The device has a driving circuit for starting the valve opening at the opening time to open the injector and to inject fuel from the opened injector into an engine and starting the valve closing at the closing time to close the injector and to stop the fuel injection when the injected fuel reaches a required quantity.