A process of pair of retina recognition system using feature fusion method has been proposed in this paper. Left and right retinal images of human have been used for the inputs of this retinal recognition system. Wavelet based retinal image pre-processing technique has been applied to process the retina images. After extracting the features from the left and right retinal images, features are concatenated using feature fusion technique. Principal Component Analysis based dimensional reduction technique has been applied to reduce the dimension of the combined feature vector. Finally, Hop field neural network algorithm has been used for classification. DRIVE retinal database has been used for the performance measurements of the proposed pair of retina recognition system.