Due to its fitting the resistive switching behavior of memristor well, the percolation network model has recently attracted attention in the memristive mechanism field. However, the current 2D percolation network model lacks the pristine states analysis. In this paper, the original model is simplified to study the effects of pristine state on the forming process of conductive percolation channel with the increase of applied voltage. Intuitively, such a percolation network model not only demonstrates the dynamic process of local conducting channels formed in the physical meaning, which verifies that the resistance distribution of the memristor switching is not ideally bistable but can be fitted by Gauss curve; also it contributes to deciphering the unknown conductive mechanisms of memristor with the various types of percolation channel.