A transmission of a motor driving vehicle, may include an input shaft connected to a driving motor and including a first clutch and a second clutch, a planetary gear set including a first rotation element directly connected to the input shaft, a second rotation element connected to the input shaft through the first clutch, and a third rotation element being able to be restrained from rotation, a gear pair configured to transmit power to the output shaft through the planetary gear set, a gear pair configured to transmit power to the input shaft without change, and additional clutches configured to control connection of the gear pairs and connection of rotation elements of the planetary gear set.