A control system for a hybrid vehicle (Ve), comprising: a prime mover including an engine, a first motor, and a second motor; a first differential mechanism that performs a differential action among a first rotary element that is connected to the engine, a second rotary element that is connected to the first motor, and a third rotary element; a second differential mechanism that performs a differential action among a fourth rotary element that is connected to the second motor and a pair of drive wheels (1R, 1L), a fifth rotary element that is connected to the third rotary element, and a sixth rotary element; a first engagement device that selectively connects the first rotary element to the sixth rotary element; and a second engagement device that selectively connects any two of the fourth rotary element, the fifth rotary element, and the sixth rotary element, wherein an operating mode is selected from a plurality of modes including a first hybrid mode established by engaging the first engagement device, a second hybrid mode established by engaging the second engagement device, in which the torque delivered to the drive wheels (1R, 1L) is smaller compared to the first hybrid mode, and a single-motor mode established by disengaging both of the first engagement device and the second engagement device, in which the hybrid vehicle (Ve) is propelled only by a drive torque generated by the second motor, and wherein each of the first engagement device and the second engagement device comprises a drive member (12a, 12b, 18a, 18b) and a driven member (12a, 12b, 18a, 18b) engaged to each other to transmit the torque; and the control system comprises a controller that is configured to predict an execution of a mode change from the single-motor mode to the first hybrid mode, characterized in that a speed difference between the drive member (12a, 12b, 18a, 18b) and the driven member (12a, 12b, 18a, 18b) of each of the first engagement device and the second engagement device is controlled by the first motor; and in that the controller is configured to execute the mode change from the single-motor mode to the first hybrid mode via the second hybrid mode, if the execution of the mode change from the single-motor mode to the first hybrid mode is predicted. a prime mover including an engine, a first motor, and a second motor; a first differential mechanism that performs a differential action among a first rotary element that is connected to the engine, a second rotary element that is connected to the first motor, and a third rotary element; a second differential mechanism that performs a differential action among a fourth rotary element that is connected to the second motor and a pair of drive wheels (1R, 1L), a fifth rotary element that is connected to the third rotary element, and a sixth rotary element; a first engagement device that selectively connects the first rotary element to the sixth rotary element; and a second engagement device that selectively connects any two of the fourth rotary element, the fifth rotary element, and the sixth rotary element, wherein an operating mode is selected from a plurality of modes including a first hybrid mode established by engaging the first engagement device, a second hybrid mode established by engaging the second engagement device, in which the torque delivered to the drive wheels (1R, 1L) is smaller compared to the first hybrid mode, and a single-motor mode established by disengaging both of the first engagement device and the second engagement device, in which the hybrid vehicle (Ve) is propelled only by a drive torque generated by the second motor, and wherein a first hybrid mode established by engaging the first engagement device, a second hybrid mode established by engaging the second engagement device, in which the torque delivered to the drive wheels (1R, 1L) is smaller compared to the first hybrid mode, and a single-motor mode established by disengaging both of the first engagement device and the second engagement device, in which the hybrid vehicle (Ve) is propelled only by a drive torque generated by the second motor, and wherein each of the first engagement device and the second engagement device comprises a drive member (12a, 12b, 18a, 18b) and a driven member (12a, 12b, 18a, 18b) engaged to each other to transmit the torque; and the control system comprises a controller that is configured to predict an execution of a mode change from the single-motor mode to the first hybrid mode, characterized in that a speed difference between the drive member (12a, 12b, 18a, 18b) and the driven member (12a, 12b, 18a, 18b) of each of the first engagement device and the second engagement device is controlled by the first motor; and in that the controller is configured to execute the mode change from the single-motor mode to the first hybrid mode via the second hybrid mode, if the execution of the mode change from the single-motor mode to the first hybrid mode is predicted.