A drive for a track-laying vehicle includes a drive shaft connected for driving two chain drive wheels of the track-laying vehicle. At least one differential gear system is arranged for superimposing a rotational speed of a steering drive on at least one of the chain drive wheels. The drive shaft is in drive connection with an electrical machine which can be operated as a generator or as an electric motor and which can be connected to an internal combustion engine by an engaging and disengaging clutch. The electrical machine is operable for charging an electrical energy storage device during operation in generator mode.