The invention provides a face image non-negative feature representation and recognition method and system based on a conjugate gradient method, and a storage medium. The face image non-negative feature representation and recognition method comprises the steps of 1, converting a training sample image into a training sample matrix, setting an error threshold and a maximum number of iterations, and inputting the training sample matrix, the error threshold and the maximum number of iterations into the training sample matrix; 2, initializing the base image matrix and the coefficient matrix; 3, updating the base image matrix and the coefficient matrix according to a formula (7); and 4, judging whether the objective function or the number n of iterations reaches the maximum number of iterations,if yes, outputting the base image matrix and the coefficient matrix, and if not, executing the step 3. The method disclosed by the invention has the beneficial effects that the result shows that the method developed by the invention has a certain superiority through experimental comparison with a related algorithm in a disclosed face database.