The white LED radiation model is an important foundation for the design and analysis of indoor visible light communications. Based on the research of the mechanism of photon radiation for white LED, a generalized white LED mathematic radiation model is proposed, which is composed of Lambert pattern and Gauss pattern. And the quantities, weights and directions of patterns are determined by the structure and material of white LED. Using nonlinear regression estimation based on GaussNewton iterative algorithm, the parameters of model matching with all kinds of white LEDs are estimated. Simulation results show that this mathematic model suitable to commercial white LEDs from different manufacturers is easy to calculate, and that all the coefficients of similarity between values of model and those of LED manufacturers are larger than 95%, and that the mathematic radiation model has a high accuracy.