The work aims to study lubricating property of texture surface under different oil supply conditions. Firstly, starvation lubrication model allowing for surface texture was established, and then the oil film thickness and pressure distribution of texture surface under starvation working conditions could be obtained by solving the modified Reynolds equation. Secondly, lubrication state at each point in contact area was determined based upon the film thickness, and shear stress under boundary lubrication, mixed lubrication and hydrodynamic lubrication was calculated based upon contact pressure and film thickness, friction coefficient was obtained by integrating frictional force. The lubricating behavior of three textured surfaces was simulated with the oil supply thickness of 50~500 nm and under full supply conditions to obtain friction coefficient of surface textures under different lubrication conditions. At the speed of 0.1 m/s, oil supply volume had slight influence on thickness of film in contact area, and the textures exhibited different lubrication performance under different lubrication conditions. At the speed of 0.2 m/s, the oil supply thickness had great influence on film thickness, which increased obviously with the increase of the oil supply thickness. The friction coefficient was the minimum at the oil supply thickness of 200 nm. Provided with hydrodynamic lubrication, surface texture has no friction reduction effect. Provided with boundary lubrication, surface texture has friction reduction effect, and dense texture has relatively smaller friction coefficient. Provided with mixed lubrication, too dense or sparse texture has no friction reduction effect, but properly distributed texture may have friction reduction effect.