The redundant features of high-dimensional data affect the training efficiency and generalization ability of machine learning. In order to improve the accuracy of pattern recognition and reduce the computational complexity, an unsupervised feature selection method based on Regularized Mutual Representation (RMR) property was proposed. Firstly, the correlations between features were utilized to establish a mathematical model for unsupervised feature selection constrained by Frobenius norm. Then, a divide-and-conquer ridge regression optimization algorithm was designed to quickly optimize the model. Finally, the importances of the features were jointly evaluated according to the optimal solution to the model, and a representative feature subset was selected from the original data. On the clustering accuracy, RMR method is improved by 7 percentage points compared with the Laplacian method, improved by 7 percentage points compared with the Nonnegative Discriminative Feature Selection (NDFS) method, improved by 6 percentage points compared with the Regularized Self-Representation (RSR) method, and improved by 3 percentage points compared with the Self-Representation Feature Selection (SR_FS) method. On the redundancy rate, RMR method is reduced by 10 percentage points compared with the Laplacian method, reduced by 7 percentage points compared with the NDFS method, reduced by 3 percentage points compared with the RSR method, and reduced by 2 percentage points compared with the SR_FS method. The experimental results show that RMR method can effectively select important features, reduce redundancy rate of data and improve clustering accuracy of samples.