Immune system is a complex defending system for the health of a body, and the modeling of this immune system is as complex as that of the brain. In fact, immunologists know no enough knowledge about this immune system, and the traditional modeling of this immune system is the mathematic formulas such as ordinary differential equations (ODEs). But these mathematic tools are difficult to understand and use due to the strict conditions, which are often far away from the real data. To improve the research on this immune system, computing techniques are applied in the modeling of this immune system, and the immunology is generating a new computing-based branch, named computational immunology. In this paper, a visual intelligent modeling approach with advanced computing techniques is used to represent a kind of immune system and its different states against the viruses such as SARS viruses. This immune system is comprised of immune cells and immune molecules, and we establish an intelligent multi-tier immune model. The immune tiers include innate immune tier, adaptive immune tier and immune cell tier. Thus, this intelligent visual model of the immune system was seamless and coherent with the architecture of the artificial immune system, so that the research on the natural immune system and the artificial one could be improved together. To validate the new approach to visualize and explore this immune system, many simulations were tested on the intelligent multi-tier artificial immune system. The visual results show that this intelligent multi-tier modeling approach can provide an effective and better way of understanding this immune system.