Although as being a real means of time frequency analysis, Wigner Distribution is limited by its falsity time frequency spectrum called interference item.By appliing the analytic signal and the Choi Williams Distribution to repress the interference and the time frequency spectrum got is satisfactory.The algorithm to compute the Wigner Distribution and the Choi Williams Distribution of the signal using its analytic form are fresented. Testifies The algorithm through several simulation tests using some typical signals such as segmented multicomponent signal, frequency modulation signal etc. The result is consistent with the theory. It indicates that the algorithm of the software developed is accurate.