A motor cooling structure for efficiently cooling a driving motor in a power unit case of the electric vehicle includes a transmission case cover having an air filter mounted on a side surface of a transmission case adjacent to a fan, and a ventilation gap defined between a rear portion of the transmission case cover and the transmission case. The transmission case cover includes a cooling air inlet facing the ventilation gap. When the fan is rotated in synchronism with a crankshaft, an outside cooling air is introduced from the cooling air inlet into the transmission case cover and then passes through the air filter to enter the transmission case, thereby forcibly cooling a transmission. Thereafter, a part of the cooling air is discharged from a central air outlet to the outside of the transmission case, and the remaining cooling air is drawn to the driven portion of the transmission.