The invention relates to a planetary multi-stage transmission for a vehicle, comprising at least one electric machine (EM) and three planetary gear sets (RS1, RS2, RS3) in a housing (9), wherein a driving device (An) can be connected to a first shaft (1) by means of a shifting element (K0) and an output (Ab) is connected to a second shaft (2), wherein four further shafts (3, 4, 5, 6) and at least five further shifting elements (B1, K1, K2, K3, K4) are provided, by means of the actuation of which shifting elements at least eight forward gears (G1, G2, G3, G4, G5, G6, G7, G8) can be realized. According to the invention, the first element of the first planetary gear set (RS1) is connected to the housing (9), wherein the first shaft (1) is connected to the second element of the first planetary gear set (RS1) in a fixed manner, wherein the rotor (10) of the electric machine (EM) is connected to the third element of the first planetary gear set (RS1) and wherein the third element of the first planetary gear set (RS1) can be connected to at least one element of at least one further planetary gear set (RS2, RS3) by means of at least one shifting element (K3, K4).