Frequency synchronization in a distributed wireless network is a challenging issue in recent times. Some frequency synchronization techniques are used in the distributed wireless network. However, due to the presence of noise, the simultaneous synchronization of all nodes to a common frequency is difficult, therefore an alternative solution for distributed network frequency synchronization using the Kalman filter is studied in this thesis. This thesis will show that existing frequency synchronization techniques in the wireless network fail in a noisy environment, and that the proposed scheme can be effective to suppress updating error noise using the Kalman filter. In particular, the proposed method can reduce the negative effects of updating error noise even if it is of high power (e.g., 50 dB). The effectiveness of the proposed algorithm over the existing algorithm will be verified by simulation results.