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To study the load distribution mechanism of the power-split transmission, and improve the carrying capacity of the herringbone star gear transmission system, the dynamic model of the planetary gear system for a geared turbofan engine with the flexible pin was established based on the node finite element method. The model considered the comprehensive influence of meshing error, time-varying meshing stiffness, bearing supporting stiffness and meshing phase. The dynamic load sharing performance of the system were studied in the equivalent meshing error, and the influence of the error incentives and structure of pins on the load sharing characteristics was analyzed. The results indicate that the vibration track of the center gears deviates from the origin because of the eccentricity error. The load sharing performance of the system can be improved by improving gears' manufacturing precision. Moreover, the influence of manufacturing errors is larger than that of assembling errors. The flexible pin improved by Montestruc has the best load sharing performance among the four types of pin models designed in the study. The load sharing performance declines with an increase of in input speed and a decrease in input power. [ABSTRACT FROM AUTHOR]