To improve the calculation method of normal section bearing capacity of eccentric compression mem? ber reinforced with steel bars and Fiber Reinforced Polymer（FRP）bars，this study summed up three typical failure types，then analyzed the limit failures among each failure type，and gave relative-boundary compressive region′s height based on several tests of concrete members reinforced with steel bars and Glass Fiber Reinforced Polymer （GFRP）bars under eccentric compression. The second-order moment augmentation factor was obtained through pa? rameter analyses using ABAQUS. By considering the basic assumptions and the influence of the second-order bend? ing moment，the calculation formulas for the normal section bearing capacity of the rectangular section eccentric com? pression members were derived. By comparing the calculation results with the test results，it was proved that the cal? culation formulas proposed in this paper had good accuracy and practicability（the mean value of the ratio Nu，t/Nu，e between the experimental values and the calculated values was 0.99 and the standard deviation was 0.053），which can provide a certain theoretical guidance and design reference for the application and promotion of concrete eccen? tric compression members reinforced with FRP bars and steel bars in practical engineering.