The invention relates to a device for measuring moments of a wind turbine, comprising a carrier pin that can be fixedly connected to a bedplate of a nacelle of the wind turbine, which is arranged on a tower and can be adjusted with respect to yaw, a torque support of a gearbox of the wind turbine being mountable on the carrier pin via an elastomer body, and to a method for operating a wind turbine and the corresponding wind turbine. The carrier pin is provided with one or more sensors that are designed and arranged to detect strains and/or shears of the carrier pin, a signal processing and/or evaluation unit being provided, which is connected to the sensor(s) and which can determine, during operation of the wind turbine, from measurement signals of the sensors, pitch moments and/or yaw moments that act upon the torque support.