Dry friction hysteresis characteristics of metal rubber was studied based on numerical model established absolutely with actual material and process parameters. The numerical model was verified in the four respects: forming force, tissue structure, size and loading-unloading curve. Elastic micro element and its local coordinates were built. Quantity of contact pairs, ratio of sliding contact pairs and status of contact pairs were researched. The number of contact pairs increases with loading and decrease with unloading. Sliding contact pairs account for nearly 80 percent of all contact pairs. The contact pairs were divided in two kinds: typical contact pairs and untypical pairs. And the typical contact pairs are the main components. According to the meso-characteristics of contact pairs, contact pair mechanical model and mathematic model of metal rubber hysteresis were set up. The mathematic model is accurate and reliable, and its parameters have clear physical meaning. The hysteresis of metal rubber can be described well with the mathematic model and metal rubber products can be designed with the formulas.