A control method of an electric oil pump for an automatic transmission that minimizes power loss by normally controlling driving of the electric oil pump when a start intention of a driver is detected after a power source is turned on is provided. The method includes driving an electric oil pump at ‘A’ RPM which is a maximum velocity when the power source is turned on. The driving of the electric oil pump is stopped when a set time t determined by the temperature of the automatic transmission oil has elapsed. The electric oil pump is driven at ‘A’ RPM for the time t, and thereafter, the electric oil pump is driven at ‘B’ RPM when a selection of a driving shift stage is detected.