Control method and system for oil pump of engine provided with variable valve lift apparatus

The present invention relates to a method of controlling the oil pump equipped with a variable valve lift device in the engine, the operating state detecting step of the vehicle; Determining whether the variable satisfies step mode switching condition of the valve lift device; The method comprising a mode switching condition of the variable valve lift device in determining whether the condition is changed to a high lift at low lift; If the condition is a mode change condition of the variable valve lift device it is changed to a high lift at low lift, comparing current oil pressure is larger than a current required oil pressure; And present, to the step of controlling the variable oil pump for generating oil pressure for the operation of the variable valve lift device to increase the oil pressure case the oil pressure is not greater than the current required oil pressure; and a.