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Electrification of the automobile propulsion system can improve the energy efficiency and reduce the environmental pollution. A novel single-mode compound split hybrid transmission with a compound planetary gear set and two brakes has been studied, which has more freedom of control to improve the system efficiency. With different activations of the two brakes, different working modes can be obtained. The kinematics and kinetics relationships of the compound planetary gear set are analyzed firstly. Then the kinematics and kinetics of the transmission in the three different operation modes are respectively presented by the numerical method and lever method. Besides, the power flow of the transmission in different modes is analyzed. It is demonstrated by analyses that the compound power-split hybrid transmission has advantages of configuration, control and energy efficiency over the mainstream products on the market.