The invention relates to a wind turbine system (1) with several wind turbine modules (2) mounted to a support structure (3). A control system is configured to determine a lift command (21) for a particular wind turbine module (2′) of the 5 plurality of wind turbines modules (2). The control system is applying the lift command (21) to a corresponding rotor blade pitch adjustment system of the particular wind turbine module (2′) so as to create a lift force (F_up) in the opposite direction of gravity on the particular wind turbine module mounted on the support structure. Providing an upwards lift force on one, or more, particular 10 wind turbine module(s) may reduce, or eliminate, static and/or dynamical loads from the wind turbine module on the support structure.