In this paper , based on the 2SLS residuals in the spatial econometric autoregressive model , we prove that Moran test is asymptotically normal distribution when the error is independent and identically dis tributed , and then establish OLLMoran test. Monte Carlo experiment results show that size distortion of OLL Moran test in this research is less than that of KP Moran , and the power of OLL Moran test is more than that of KPMoran. OLL Moran test has good finite sample performance , and could check effectively spatial correlation among 2SLS residuals in the spatial econometric autoregressive model.