The pure diffusion approach for credit risk model with noisy information is generalized in this paper by including jumps in the firm-value processes. The explicit solution of the default probability for this credit risk model is derived, and the impacts of asymmetric jumps and noisy information on the credit risk are illustrated with numerical results on the default probability, the default intensity, and the credit spread. With the term structure of credit spreads being enriched, our approach is potential to interpret empirical data in real world.