Abstract: Peer to peer network access is the integral part of the day to day business for most of the computer users. Preserving load balance on heterogeneous peer to peer networks is a challenging purpose and several existing works presented Load Redistribution algorithms for load division and load diversions at the instance the new peer enters. The aim of load balancing in P2P networks is to equilibrium the workload of the network nodes in quantity but lacks to eliminate traffic occurring in the routes of the P2P network efficiently. In this study, the behaviors are characterized by eliminating the traffic using the Arbitrary Selection Load Balancing (ASLB) approach with Tremendous Store Model. Tremendous Store Model is investigated to extend the impact of node heterogeneity and agitate to the load distribution in P2P networks. The performance of the Arbitrary Selection Load Balancing (ASLB) approach with Tremendous Store Model reduces the network traffic routes with minimal cost of P2P in contrast to existing saturn load balancing scheme. An analytical and empirical result offers a collision free system with the quantization of information by balancing the load in the P2P network system. Performance of the arbitrary selection load balancing is measured in terms of peer failure probability and traffic control efficiency.