Abstract： Calculating equations of surface normal contact stiffness, loss factor and normal contact damping were explored based on the Hertz normal contact mechanics expression and the fractal geometry theory analyzing surface normal contact stiffness, by improving the previous calculating model. The results reveal that the calculating method proposed can better predict the changing laws of normal contact stiffness, loss factor and normal contact damping. The normal contact stiffness increases by decreasing the fractal roughness and increasing the normal contact load, and it increases at first and then decreases with the increase of fractal dimension. Enhancing the fractal roughness and reducing the normal contact load both make the loss factor ascend which decreases first and then increases with the increase of fractal dimension. The loss factor converges to a certain definite value as the fractal dimension approaches 2. The normal contact damping lessens first and whereafter aggrandizes with the augment of fractal dimension, and there exist two inflexions in the variable process. When the fractal dimension is smaller than the first inflection value, the normal contact damping increases with the increase of fractal roughness. When the fractal dimension is in excess of the first inflection value, the normal contact damping decreases with the increase of fractal roughness. The normal contact damping decreases with the increase of normal contact load for D≤1.4. The normal contact damping increases with the increase of normal contact load for D>1.4.