A method for compensating an automatic exposure of a camera in a mobile communication terminal. The method includes determining a presumptive error value based on an average luminance value of an input current image frame and a particular target luminance value, selecting a convergent coefficient value based on the determined presumptive error value, determining a weight value of an adaptive filter based on the determined convergent coefficient value, and determining an exposure value for a next image frame based on the selected weight value, the determined presumptive error value and the exposure value of the current image frame.