In this paper,we put forward a class of discrete time affine models on bond pricing.In the models class,we suppose the dynamics of the vector of state variables follow a first order vector autoregressive stochastic process and the pricing kernel is taken the form of affine function of the state variables.Then we derive the discrete time affine models on zero coupon bond pricing with different maturities.Finally,we list some special examples which come from the class of discrete time affine models,including a few well known interest and bond price term structure models.