In order to solve interference of the neighborhood size of the linear local tangent space alignment（ LLTSA） when used in fault feature reduction,in this paper,a fault diagnosis method based on linear local tangent space alignment（ NALLTSA） for dimension reduction is proposed. Firstly,the high-dimensional fault feature of mechanical vibration signal are extracted. And then,the neighborhood adaptive linear local tangent space alignment with Parzen window density estimation is used to reduce the high-dimensional set to the low-dimensional compressed sensitive feature subset. Finally,the corresponding relationship between low-dimensional feature and fault classes are established by using support vector machine（ SVM）.Dimension reduction with NA-LLTSA can effectively increase the discrimination of fault feature,and furthermore,SVM can further improve fault diagnosis accuracy with its excellent pattern recognition capacity. Finally,the effectiveness of the proposed method was verified through the fault diagnosis experiment of rolling bearing.