This study focuses on the client-contractor bargaining problem in the context of multi- mode resource constrained project scheduling. The bargaining objective is to maximize the bargaining objective function comprised of the individual NPV maximizing objectives of both the client and the contractor. Although the well-known multi- mode resource constrained project scheduling problem has been under investigation from various dimensions in the literature, this study proposes a two-player setting to this problem. The solution procedure takes the objectives of both players into account. One other proposal we have in this study is the bargaining weights concept we have used in the model, which is used to determine the bargaining power of each player through the negotiation process. The bargaining objective function we have used has been an important part of the model itself. We have investigated different solution approaches by using two different bargaining objective function formulations in our tests. Hope it will introduce a new perspective to the current literature on bargaining problem.