A drive system for a hybrid vehicle, the drive system comprising: an engine configured to start itself by starting rotating of the engine with combustion energy of a fuel generated in a cylinder from a condition in which rotation is stopped, and increasing a rotational speed to complete starting; a first differential mechanism connected to the engine, the first differential mechanism being configured to transmit rotation of the engine; a second differential mechanism configured to connect the first differential mechanism with drive wheels, the second differential mechanism including a first rotational element, a second rotational element and a third rotational element, the first rotational element connected to an output element of the first differential mechanism, the second rotational element connected to a first rotating machine, and the third rotational element connected to a second rotating machine and the drive wheels; a switching device (CL1, BK1) configured to change a speed ratio of the first differential mechanism; and an electronic control unit configured to selectively establish a first running condition and a second running condition, the first running condition being a running condition in which the hybrid vehicle runs using the second rotating machine as a power source, in a condition in which the switching device allows differential operation of the first differential mechanism, the second running condition being a running condition in which the hybrid vehicle runs using the second rotating machine as a power source, in a condition in which the switching device inhibits differential operation of the first differential mechanism, and a running region (Rev_2) in which the hybrid vehicle runs in the second running condition in the case where the engine cannot start by itself, is larger than a running region in which the hybrid vehicle runs in the second running condition in the case where the engine can start by itself. an engine configured to start itself by starting rotating of the engine with combustion energy of a fuel generated in a cylinder from a condition in which rotation is stopped, and increasing a rotational speed to complete starting; a first differential mechanism connected to the engine, the first differential mechanism being configured to transmit rotation of the engine; a second differential mechanism configured to connect the first differential mechanism with drive wheels, the second differential mechanism including a first rotational element, a second rotational element and a third rotational element, the first rotational element connected to an output element of the first differential mechanism, the second rotational element connected to a first rotating machine, and the third rotational element connected to a second rotating machine and the drive wheels; a switching device (CL1, BK1) configured to change a speed ratio of the first differential mechanism; and an electronic control unit configured to selectively establish a first running condition and a second running condition, the first running condition being a running condition in which the hybrid vehicle runs using the second rotating machine as a power source, in a condition in which the switching device allows differential operation of the first differential mechanism, the second running condition being a running condition in which the hybrid vehicle runs using the second rotating machine as a power source, in a condition in which the switching device inhibits differential operation of the first differential mechanism, and a running region (Rev_2) in which the hybrid vehicle runs in the second running condition in the case where the engine cannot start by itself, is larger than a running region in which the hybrid vehicle runs in the second running condition in the case where the engine can start by itself.