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In this paper we propose novel Face Recognition method based on vector quantization (VQ) using Kekre's Median Code Book Generation (KMCG) algorithm. The performance of the proposed method is compared with the well known face recognition method based on Discrete Cosine Transform (DCT). Both the methods are implemented on Georgia Tech Database of 750 images consisting of 15 images for each of 50 individuals. From the results it is observe that our proposed method gives 92.67 % accuracy as compared to DCT. Further it is observed that KMCG requires 99.45% computation less than DCT.