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Light-emitting diodes (LEDs) are gradually becoming the preferred choice for many lighting applications that require uniform illumination distribution. LED sources are usually composed of several individual LEDs which must be mounted on a panel as a lighting module. Therefore, the design is quite important for achieving a good uniform illumination distribution before a LED lighting module is produced. This paper presents a theory and design method by systemic concepts and focuses on the study of optical properties. We can design, efficiently, a LED lighting module and achieve a satisfactory uniformity by this theory and method, the design of a uniform LED illumination system. By this method, we not only obtain the maximally flat illumination distribution but also the emitting angle of the system can be designed at will. This method and theory will offer a preferable choice when LED lighting modules become the main stream for the lighting market in the future. Here, the light source is approximately defined as a point light source with cosine irradiance distribution.