The invention discloses a control apparatus of a variable capacity type fuel pump, for transferring fuel under pressure, being pressurized within a pressurizing chamber by a reciprocally movement of a plunger through rotation of a cam, into a common rail for assimilating pressure of the fuel therein, and for controlling timing for driving a variable capacity control mechanism for adjusting the fuel to be returned from said pressurizing chamber back to a side of a low-pressure passage, thereby controlling a flow rate discharged therefrom.;The control apparatus controls driving on a side of said variable capacity type fuel pump, so that timing for driving said injector and timing for driving said variable capacity control mechanism have a time interval longer than a pred-determined time interval. The control apparatus according to the invention is effective in reducing engine noises.
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