On the basis of the non-sufficient and sufficient water supplied infiltration test of homogenous soil, the infiltration processes for both non-sufficient and sufficient water supplies were analyzed; the correlations of Kostiakov three model parameters for the non-sufficient and sufficient water supplies were established. The result shows that the ponding infiltration process with non-sufficient water supply accords with asymptotic curve of infiltration process with sufficient water supply; the infiltration parameter ratio m increases as the three elements of water supply, namely, intensity, clay content of soil grain and soil bulk density augment, while the parameter ratio m decreases as the two elements of sand content, and moisture content, the steady infiltration rate of non-sufficient water supply equals to steady infiltration rate of sufficient water supply; the infiltration coefficient K1 of non-sufficient water supply equals to the value of the difference between water supplied intensity of water supply and steady infiltration rate.