Formation and interaction ofBragg solitons are simulated with the finite-difference scheme in a uniform fiber Bragg Grating. We have investigated Bragg soliton formed on a certain peak power, and we havealsoinvestigated interaction and energy exchange between Bragg solitons. According to the numerical results, the interaction of Bragg solitons for small interval (Ts = l. 0T0 ) is repulsive and attractive. As the interval increases, obvious energy exchange of Bragg solitons takes place, and evolvement of Bragg solitons is formed regularly.