Abstract: In the report, the Boole discrete line integral method was used to discretizate the integral term of the multi-symplectic global energy-preserving scheme, and a new multi-symplectic global energy-preserving scheme was obtained. The new scheme was used for simulating the one dimensional sine-Gordon equation. The numerical results showed that the new scheme can well simulate the behaviors of the sine-Gordon equation with the different initial conditions, and preserve the energy conservation property of the solitary waves. The new scheme can avoid the singular integral of the sine function of the sine-Gordon equation effectively and has the important meaning in numerically simulating the complex energy conserving multi-symplectic structure partial differential equation.