A method for controlling a drive device (3, 203) of a hybrid vehicle (1, 201), which comprises an internal combustion engine (5 205), a first electric engine (9, 209) a second electric engine (11, 211) and an accumulator (13, 213), wherein a performance-oriented mode or a consumption-oriented mode can be selected for the drive device, wherein the method for a selected consumption-oriented mode in the case of a first condition comprises: Controlling the drive device in a parallel boost hybrid mode in which the internal combustion engine (5, 205) and additionally the first electric engine and/or the second electric engine brings about a drive torque, until a criterion is fulfilled, which depends on the time duration of the operation and/or the energy conversion in the parallel boost hybrid mode, and in the event the criterion is fulfilled, switching to a serial hybrid mode, in which the drive torque is brought about by means of the second electric engine (11, 211) and the internal combustion engine (5, 205) drives the first electric engine (9, 209) for generating electrical energy, wherein the method for the selected performance-oriented mode in the case of the first condition comprises: Controlling the drive device in the serial hybrid mode, without having to wait for the fulfillment of the criterion, wherein the first condition comprises: A target drive value is increased to an intermediate value, which is between an internal combustion engine threshold, which represents a maximum drive value in a parallel hybrid mode, in which the internal combustion engine (5, 205) exclusively brings about a drive torque, and a parallel hybrid mode threshold which represents a maximum drive value in the parallel boost hybrid mode. Controlling the drive device in a parallel boost hybrid mode in which the internal combustion engine (5, 205) and additionally the first electric engine and/or the second electric engine brings about a drive torque, until a criterion is fulfilled, which depends on the time duration of the operation and/or the energy conversion in the parallel boost hybrid mode, and in the event the criterion is fulfilled, switching to a serial hybrid mode, in which the drive torque is brought about by means of the second electric engine (11, 211) and the internal combustion engine (5, 205) drives the first electric engine (9, 209) for generating electrical energy, wherein the method for the selected performance-oriented mode in the case of the first condition comprises: Controlling the drive device in the serial hybrid mode, without having to wait for the fulfillment of the criterion, wherein the first condition comprises: A target drive value is increased to an intermediate value, which is between an internal combustion engine threshold, which represents a maximum drive value in a parallel hybrid mode, in which the internal combustion engine (5, 205) exclusively brings about a drive torque, and a parallel hybrid mode threshold which represents a maximum drive value in the parallel boost hybrid mode. A target drive value is increased to an intermediate value, which is between an internal combustion engine threshold, which represents a maximum drive value in a parallel hybrid mode, in which the internal combustion engine (5, 205) exclusively brings about a drive torque, and a parallel hybrid mode threshold which represents a maximum drive value in the parallel boost hybrid mode.