Focusing on the issue of diesel-electric competition and diesel engine’s insufficient power for parallel mild hybrid tracked vehicle in launch and acceleration process，the theoretical analysis and vehicle tests are conducted to find the corresponding reasons.Based on the test results，the variables of fuel mass demand and fuel mass constraint are used to describe the driver’s power demand and diesel engine’s output capability，furthermore the desired motor output in dynamic process is determined.Finally，a fuel demand differential-based motor torque algorithm is proposed，which emphasizes the dominant role of diesel engine as the power source in parallel mild hybrid tracked vehicle.A coordinated control method is proposed for the diesel-electric competition in the dynamic process of parallel mild hybrid tracked vehicle.An object powertrain model is established to validate the proposed method through simulation.The simulated results show that the proposed method succeeds in improving the dynamic performance of vehicle and avoiding the underlying diesel-electric competition problem.Compared with the existing method，the proposed method is used to improve the diesel engine dynamic output by 19.37%，reduce the battery power consumption by 63.75% and shorten the 0-32km/h acceleration time by 6.52%.