According to the principle that the contact angle of liquid droplet always increases on a limited liquid-solid interface, it is suggested that the integration of many small-size limited liquid-solid interfaces results in the increase of the hydrophobicity of lotus-leaf-like micro-convex-concave surfaces. Mathematical equations of the stability of liquid-droplets on the surface of lotus-leaf-like structure were established. The relationship between the theoretical critical-radius of the void of micro-convex-concave surface and the nature of the solid and the liquid was drawn. The three conditions of realizing hydrophobicity were described. The result of computation has shown that when the radius of the void of micro-concave-convex surface is less than the theoretical critical-radius r c, the droplets may always be in a stable state on the solid surface with the contact angle greater than 90°. The minimum area of the liquid-solid interface and low surface energy of solids are important factors in realizing hydrophobicity. The effective work of adhesion W a ′ was proposed as a criterion for measuring the hydrophobic ability of the solid surface. Water droplets fall on lotus leaf surface to form free rolling water globules. The exploration on hydrophobic mechanism of the lotus leaf surface has become a hot spot in the field of artificially preparing bionic hydrophobic and self-cleaning materials. In recent years, the research on new hydrophobic materials has continually achieved remarkable achievements in the fields of chemical engineering, daily use sanitary wares, clothing, fluid drag reduction, mechanical anti-corrosion and so on. After long-term observations, the researchers have found [1-3] that there are very complex multiple micron and nano-scale structures on the lotus leaf surface. It can be clearly seen under the scanning electron microscope that the lotus leaf surface has many small papillae, on the surface of each of which there are a lot of "hill" shaped convex top with the diameter of about 200 nm. The sunken parts between the papillae and the "hills" are filled *Corresponding author (email: zdy7081@163.com) with air. When rainwater lands on the leaf surface, it only constitutes partial point contact with the "hill" shaped convex top on the leaf surface. Researches have shown that, the micro-nano-structured morphology exists not only in the lotus leaf surface but also in the surface of other plants and skin of some animals [4]. However, the current research only clarifies the special constructs of the surface of hydrophobic materials, that is, the hydrophobic material should have a rough surface and low surface energy [5,6]. However, researches on the reason why the contact angle of rough surface is greater than that of smooth surface and the quantitative researches on the microstructure size are not sufficient. Wenzel [7] proposed that water droplets were completely wetted on the rough surface, whose apparent contact angle could be expressed as: cosθ r =rcosθ, where r was the surface roughness. He ...