The present study proposes the designing of double sampling plans integrated with Supply Chain Contract through the simulation model based on normal and lognormal distributions. These plans are constructed through a simulation model implemented with GoldSim(14.0). The plan parameters of the proposed plans viz., the sample sizes and the acceptance numbers are determined. For various quality-related parameters, tables were provided for the selection of double sampling plans according to the required proportion defective. This paper considers the certain distribution characterized by the normal and the lognormal distributions for the double sampling plans within supply chain contract.