Unreasonable trajectory is the main factor that limits the stable motion of the carrier of maypole braiding machine. The kinematical model of the carrier is established. The acute change of the load causes severe vibration of the carrier in the straight line segment of the “∞”-shape trajectory. Combination curve of modified trapezoid is used for optimizing trajectory. The result shows that the maximum dimensionless jerk of the carrier is decreased obviously. The trajectory of tangent equal circles (simplified TEC) is obtained in the optimization objective of minimum load fluctuation and leads to the vibration and noise of braiding machine be reduced notability. The design theory of machine has been provided in this research, which can improve the overall performance of the braiding machine
