: Todayis very important attention to the opportunities and threats existing in theindustry field, trade and assessment of the ability of industries and companiesin confronting the uncertainties and risks and the management of supply chainrisks. Risk management is the process of identification of risk factors,assessment them and planning them in order to decrease adverse risk effects.Risk management is an important step in risk management because of the manyrisks in supply chain and the necessity for optimal resource consumption.Ignoring and even imperfect performance of it, may cause irreparable damage todifferent supply chain segments. In this research, has been investigated thebuyback contract problem with multiple criterion for the supply chain that is asystem with a single manufacturer and single retailer in order to coordination.According to that is necessary to consider possibility of unexpected andundesirable incidents involving the supply chain risk, in this problem, hasbeen considered the maximizing profit criterion in addition to the minimizingrisk criterion. The investigators today have understood coordination ofdecisions in the supply chain increase the efficiency and improve the wholesystem. More over according to the competition between organizations on morecustomers and more benefit, they use various policies and novels. Thesepolicies have the greatest efficiency in order to achieve goals when are wellcoordinated together. Consequently, contracts have been proposed as a goodapproach for coordination. Demand usually is stochastic in real space business.Consideration this uncertainty is necessary to approach the realword. In this research we have tried to examine buyback contract and itseffectiveness in coordinating the system in dealing with risk conditions bychoosing the stackelberg-manufacturer game. Therefore After analyzing theproblem of the centralized system and determining the range of risk parameterbased on optimal solution, the problem of decentralized system under buy backcontract was analyzed and the requirements for coordination system under thiscontract were investigated. Findings and results of this research show thatconsider the risk criterion and minimizing that, is very important for bettercoordination and risk averse person who don’t allocate high weight on thecriterion risk much better allocate upper bound, in order to enhancementcoordination. Finally a numerical example was presented and sensitivityanalysis of cost, sensitivity to price and degree of risk parameters showedthat the highest amount of coordination parameter occur for the lowest cost,highest sensitivity to price and highest degree of risk.