A gearbox for a wind turbine includes a ring wheel unit provided in a housing; a driving shaft designed to be coupled to the rotor of the wind turbine and a single main bearing or a pair of main bearings which rotatably support the driving shaft in the housing. The ring wheel unit is formed of a sun wheel, a planet wheel, ring wheel which is fixed to the housing in a non-rotating manner and a planet carrier which is rigidly connected to the driving shaft. An additional bearing rotatably supports the planet carrier or the driving shaft relative to the housing. Between the part of the housing having the main bearing or the main bearings and the part of the housing with the additional bearing and the ring wheel, an elastic part is provided with relative torsional stiffness, yet relatively flexible to loads in the axial and/or radial direction.