The active confinement for the core concrete can be provided by lateral pre-tensioned FRP, the stress hysteresis of FRP can be avoided, and good confinement effect for concrete columns can be got. It must cause large error if adopt the calculated model and constitute model of concrete columns confined with non-pretentioned FRP. The initial confined stress and effective confined stress associated with the lateral pre-stress were introduced. According to the test results and finite element simulation, the calculated model on peak stress, peak strain, ultimate stress and ultimate strain of circular concrete columns confined with lateral pre-tensioned FRP were proposed, and the initial elastic modulus of circular concrete columns confined with lateral pre-tensioned FRP was analyzed. Based the exiting stress-strain models of circular concrete columns confined with FRP, the three linear stress-strain model of circular concrete columns confined with lateral pre-tensioned FRP was recommended, and good agreement between theoretical and test results is achieved.