In this article we review the estimation of passenger rail demand function in Tehran province using Eviews 7 software, and current techniques in econometrics . In order to do so first we try to investigate the stationarity of the pattern variables using the Philips Perron (PP) test and after that we assure from stationarity of pattern variables. After this step, the long run and equilibrium relation between these variable were prompted using the Engle Granger cointegration test. and according to the results , the long run and equilibrium relationship exist between variables. Then the studied pattern was estimated by Ordinary Least Squares (OLS) estimate methods and the results confirm to theoretical and statistical expectations .So that the variables of rail lines length and income have positive and meaningful relationship with transportation demand, but the variable of train ticket price has negative and meaningful relationship with transportation demand. Regarding the studied pattern is a logarithm linear Regression. The coefficients represents the transportation demand elasticity relative to length of rail lines, income and train ticket price. For assuring from non-existence of serial correlation and variance heteroskedasticity problem in the pattern , we have proceeded to two issues .The results are reported that two mentioned problems are not in the pattern

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