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In this manuscript, we present an implementation of a correlation method for face recognition application on GPU. Our correlator is based on the famous “4f” setup and the use of a Phase Only Filter (POF). Traditionally, the correlation method is implemented using optical components for real-time application. Unfortunately, optical implementation is complex and has exorbitant price. To cope with these drawbacks and in order to benefit from the accuracy of the correlation method, we propose in this work to implement the correlation using GPU. To this end, we will take an interest in the mathematical aspect of the correlation method to identify the processing to be implemented on GPU. Simulations results about the implementation of the face recognition application on GPU showed the efficiency of our proposed design. Moreover, comparison between GPU and CPU in terms of execution time have been made and shows that, to identify one face among 4, GPU Nvidia Geforce 8400 GS is 3 times faster than the Intel Core 2 CPU 2.00 GHZ (using Matlab).