Abstract: The dynamics of a one-dimensional hydrogen molecule ion (H2+) in two-color intense laser field was studied. The classical trajectories were obtained by solving numerically the classical Hamiltonian equations. Based on the classical theory and symplectic algorithm, the probabilities of survival, ionization, dissociation and Coulomb explosion were implemented, meanwhile the influence of the intensity of the laser field on this diatomic ion model was evaluated. The classical dynamics caused by the phase-difference, the laser intensity-difference, and the frequency-difference between the two laser pulses were illustrated and some physical explanations were given.