The invention relates to an electric-driving transmission device for an electric vehicle and a control method. The electric-driving transmission device comprises a driving motor, a differential mechanism, a first brake, a second brake, a first planetary gear set and a second planetary gear set, wherein the first planetary gear set comprises a first sun wheel, a first planet carrier and a first gear ring, and the second planetary gear set comprises a second sun wheel, a second planet carrier and a second gear ring. An output shaft of a driving motor is sequentially connected with the first sunwheel and the second sun wheel. The first gear ring is connected with the first brake, and the second gear ring is connected with the second brake. The first planet carrier and the second gear ring are connected to form a whole, the second planet carrier is provided with an output support, and the output support is connected with an input shaft of the differential mechanism. Compared with the prior art, the electric-driving transmission device can achieve non power failure in the gear shifting process, is low in control complexity, has relatively low requirements for performance of the drivingmotor, and is high in practicability, compact in structure, small in size, low in weight and low in manufacturing cost.