Abstract: As the power of a single LED is very small, when it is taken as the illuminating source, it is necessary to use LED array to enhance the brightness and enlarge the luminous area to improve the uniformity of illuminance. The luminous superposition formula of the LED array is derived, and then the LED array is simulated according to the formula. The uniform distribution of LEDs on a plane is analyzed taking the circular distribution as an example and the homogeneous distribution of LEDs on a curved surface is analyzed taking the spherical distribution. The simulation results of two kinds of arrays' characteristics are presented. The distribution features of different arrays were obtained. The array distributions applied to different lamps are achieved and reliable reference for the design of LED lamps is provided.