A multi-speed transmission, especially for a vehicle, comprising an input shaft, a first driveshaft and a second driveshaft, each of the two concentric driveshafts (13, 14) having at least two driving gearwheels (G1a, G2a, G3a, G4a, G5a), a driven shaft with a plurality of gearwheels (Gb, GLb, G1b, G2b, G3b, G4b, G34b, G45b, G56b, G67b) on it meshing with the driving gearwheels (GRa, GLa, G1a, G2a, G3a, G4a, G34a, G45a, G56a, G67a) on said driveshafts (13, 14), said gearwheels (GRa, GLa, G1a, G2a, G3a, G4a, G34a, G45a, G56a, G67a; Gb, GLb, G1b, G2b, G3b, G4b, G34b, G45b, G56b, G67b) for forward speeds being engageable to said shafts (13, 14; 15, 16) with clutches (C1, C2, C3) forming a power flow from said driveshafts (13, 14) to the driven shaft with different ratios, wherein one gearwheel in each said gear wheels meshing is constantly connected to a corresponding shaft, and another gearwheel in said gear wheels meshing is engageable to a corresponding shaft by one of said clutches (C1, C2, C3), a controllable lock-up clutch being arranged between the driveshafts, connecting said driveshafts (13, 14) with each other, an electric machine with a rotor, a planetary gearset with three links (21, 22, 23), a first of said links being connected to the first driveshaft and the input shaft, a second of said links being connected to the second driveshaft, and a third of said links being kinematically connected to a rotor of said electric machine, wherein - the speed ratio between the second link and the third link for stopped first link has a defined value: i PGS <0; - the gear ratio between gearwheels of a first gearing (GL, G1) on the second driveshaft has a defined value: i G1; characterized in that - the second driveshaft, has at least three driving gearwheels (GRa, GLa, G1a, G2a, G3a, G34a, G45a, G56a, G67a); - the gear ratio between gearwheels of the first gearing (G1, G2) with one of said gearwheels arranged on the first driveshaft matches the inequality i G2 < i G1 / (1-(1/i PGS)); - the gear ratio between gearwheels of a second gearing (G2, G3, G34) with one of said gearwheels arranged on the second driveshaft matches the inequality i G3 < i G2; - the gear ratio between gearwheels of the second gearing (G3, G4, G5) with one of said gearwheels arranged on the first driveshaft matches the inequality i G4 < i G3 / (1-(1/i PGS)); - the gear ratio between gearwheels of a third gearing (G45, G56, G67)) with one of said gearwheels arranged on the second driveshaft matches the inequality i G5 < i G4. - the speed ratio between the second link and the third link for stopped first link has a defined value: i PGS <0; - the gear ratio between gearwheels of a first gearing (GL, G1) on the second driveshaft has a defined value: i G1; characterized in that - the second driveshaft, has at least three driving gearwheels (GRa, GLa, G1a, G2a, G3a, G34a, G45a, G56a, G67a); - the gear ratio between gearwheels of the first gearing (G1, G2) with one of said gearwheels arranged on the first driveshaft matches the inequality i G2 < i G1 / (1-(1/i PGS)); - the gear ratio between gearwheels of a second gearing (G2, G3, G34) with one of said gearwheels arranged on the second driveshaft matches the inequality i G3 < i G2; - the gear ratio between gearwheels of the second gearing (G3, G4, G5) with one of said gearwheels arranged on the first driveshaft matches the inequality i G4 < i G3 / (1-(1/i PGS)); - the gear ratio between gearwheels of a third gearing (G45, G56, G67)) with one of said gearwheels arranged on the second driveshaft matches the inequality i G5 < i G4.