A hybrid powertrain for a vehicle includes an internal combustion engine having a crank shaft rotatable about a geometric axis, an electric machine and a transmission having an input shaft rotatable about the geometric axis, and a clutch by which clutch the internal combustion engine and the transmission are selectively connectable to each other. A rotor of the electric machine is arranged on the crank shaft for rotating together with the crank shaft about the geometric axis, and the clutch is a dog clutch arranged for connecting and disconnecting the crank shaft of the internal combustion engine and the input shaft of the transmission to and from each other.