Abstract: In the data processing of kinematic navigation and positioning,the correlation character of observation noise can not be known in advance,which brings out trouble for choosing appropriate method.The graphic method is put forward to determine correlation extent visually.On the basis of statistic test,the null hypothesis and test statistics is designed,with which the hypothesis test method for detecting correlation is derived.The result of calculation shows that both the graphic method and the hypothesis test method is effective and exact in judging the correlation character of noise.