A transmission for an electric vehicle may include a first planetary gear set; a first motor configured to input power to a first rotation element of the first planetary gear set; a differential configured to receive power output from a second rotation element of the first planetary gear set; a second motor configured to selectively provide power to a third rotation element of the first planetary gear set; a second planetary gear set including a first rotation element which is directly connected to the differential, and a second rotation element which is configured to selectively receive power from the second motor; and a third planetary gear set including a third rotation element which is directly connected to a third rotation element of the second planetary gear set, a second rotation element which is fixed, and a first rotation element which is directly connected to a selected output shaft of the differential.