The wireless power transmission system composed of the unbalanced fed, ultra low profile inverted L antenna on a rectangular conducting plane is numerically analyzed. In order to the deterioration of the power transmission efficiency due to the displacement between the transmitting reception antennas, two reception antennas are used. The size of conducting plane is 129 mm by 46 mm. In the case of the distance between transmitting and reception antennas is 14 mm, the power transfer efficiency more than 80 % is obtained in the displacement up to 98 mm at the design frequency of 1 GHz.