Today's network is distributed and heterogeneous in nature and has numerous applications which affect day to day life, such as e-Banking, e-Booking of tickets, on line shopping etc. Hence the security of the network is crucial. Threats in the network can be due to intrusions. Such threats can be observed and handled using Intrusion Detection System. The security can be achieved using intrusion detection system, which observes the data traffic and identifies it as an intrusion or not. The objective of this paper is to design a model using game theoretic approach for intrusion detection. Game model is designed by defining players, strategies and utility functions to identify the Probe attacks. This model is tested with NSLKDD data set. The model is the Probe attacks are identified by dominated strategies elimination method. Experimental results shows that game model identifies the attacks with good detection rate.