An apparatus for controlling an electric oil pump (EOP) includes a controller calculating first revolutions per minute (RPM), second RPM and third RPM, the first RPM being EOP RPM required for control of a brake in a transmission, the second RPM being EOP RPM required for cooling of a plurality of motors, and the third RPM being EOP RPM required for lubrication of the plurality of motors, the controller comparing the second RPM with the third RPM and driving the EOP at an RPM obtained by adding the first RPM to the greater of the second RPM and the third RPM.