The Bayesian can express the conditionally independence conveniently,but in appliactions it can't handle causally independence easily. The Noisy OR model can express causally independence well,but the limitation of the Noisy OR model blocks the widely use of itself. In this paper,we present the extension of the Bayesian Network based on independence. Our new model generalizes the Bayesian Networks to handle causally independence properly,and simplifies the conditionally probability table. Experimental results show the availability of our new model.