Disclosed is a tower for a wind power station comprising a machine pod disposed on the tower and a rotor mounted on the machine pod so as to be rotatable about an essentially horizontal axis. Said rotor is provided with at least one blade. The tower is composed of a tubular upper section that is connected to a lower section which is embodied as a lattice tower in a transition zone. The lattice tower encompasses at least three corner posts. The upper tower section forms at least one sixth of the entire tower. The cross section of the lower tower section below the transition zone is greater than the cross section of the upper tower section while the transition zone is configured such that the cross section of the lower tower section is adjusted to the cross section of the upper tower section so as to optimize power flux.