A chaotic anti-control and synchronization method of mutual coupling between two degenerate optical parametric oscillators is present,based on the nonlinear dynamic characteristics of degenerate optical parametric oscillator. Transforming degenerate optical parametric oscillators from periodic state into chaotic output is simulated numerically. The lowest mutual coupling coefficient of degenerate optical parametric oscillator with different pump field amplitude is calculated. Numerical simulations show that there are different chaotic attractors depending on the different coupling coefficients and pump field amplitudes.Precise chaotic synchronization can be reached only if they have chaotic output. They realize identical synchronization or inversed synchronization because of different coupling types.