Ocean acoustic tomography (OAT) is a powerful approach for observation of mesoscale ocean fluctuations. The precise estimation of travel time is required for ocean current measurement. We previously proposed the measurement of travel time using phase information. In this paper, we present the theoretical analysis of phase deviation using the Rice distribution. We then propose a new measurement technique of travel time termed as the complex vector method. We also demonstrate the ability of this method by computer simulation and received signals from OAT experiment in 1999. The preliminary results are promising. We conclude that the proposed estimated method is useful in long-range ocean transmission.