Recently research workers have built several math models of counter-current chromatography (CCC),such as cell model1,CCC distribution model2,Continuous-Stirred Tank Reactors model3,probability model4.A new math model of counter-current chromatography using temperature dependence plate model has been described in this paper.Based on plate theory and van’t Hoff equation,a new temperature dependence plate model has been set up.The math modelling of the partition action of CCC can be achieved by using Matlab to do computer programming.The relationship between temperature and partition coefficient K value can be summarized into linear equations (logK=A-B/T),which can be introduced to the plate model.K values decrease as temperature getting higher.R values are related to K values,as a result,temperature change finally leads to resolutions between different compounds change.K values at different temperatures of a certain compound in a given system were calculated according to those equations above.New program with temperature parameter was applied in prediction of experimental result,which decreased the error in modelling prediction.The retention time error is 9.22% for peak 2 and 5.46% for peak 4 (fig.1),respectively,without considering temperature effect.When temperature was taken into consideration,the error was significantly reduced (fig.2).This temperature dependence plate model can well explain why CCC partition efficiency is not the same in different seasons without temperature controller,and it can be more accurate in CCC separation prediction than previous models.As we all know,two compounds can’t be separated when the separation factor is 1.However,if their logK-1/T equations are different,separation can be achieved by changing temperature and the optimal temperature can be obtained from this new model.Those logK-1/T equations may be applied to other models in the future.