In this paper, the phase properties of an anti-correlated two-mode ield, namely SU(2) coherent state field, are studied by means of the phase formalism given by Pegg and Barnett. The expressions of the phase probability distributions and the variance are obtained, demonstrating that single-mode phase and the slim of the two single-mode phase are all randomly distributed, and that if the field is strong and the photon numbers in both modes are nearly equal, the ...