Due to the advantages of high torque density and compact mechanical structure, brushless dual-mechanical-port dual-electrical-port (BLDD) PM machine has become a promising-alternative in series-parallel HEVs. However, two sets of windings in the same core may also result in flux cross coupling, which deteriorate control performance. Through special design of the magnetic circuit, the two sets of windings in the stator side are decoupled. In this paper, the mathematical model of BLDD-PM machine is analyzed firstly. Then, based on energy management system and the model of machine, the decoupled vector control algorithm for outer and inner rotor is developed. Next, common operation states under city road condition for hybrid vehicles have been summarized. According to operation state of HEV, the power flow analysis in the BLDD-PM machine system has been done. To validate the analysis results, experimental test under different operation condition has been conducted. Test results show good control performance of the BLDD-PM prototype and verify the correctness of analysis.