A novel Multiple-Traces Surface Integral Equation(MT-SIE) method is proposed for solving Electromagnetic(EM) scattering from homogeneous dielectric objects. Different from traditional Poggio-Miller-Chang-Harrington-Wu-Tsai(PMCHWT) method, the non-conformal MT-SIE method can discretize the surface with two pairs of non-conformal meshes(exterior and interior). Meanwhile, the Transmission Conditions(TCs) are enforced to ensure the continuity of currents, on the interface of the exterior domain and interior domain. Compared with traditional PMCHWT method, this method can be combined with Multilevel Fast Multipole Algorithm(MLFMA) more easily for solving homogeneous dielectric objects. To accelerate the matrix solution speed, a Gauss-Seidel precondition technology is introduced, and it leads to a better convergence and significantly reduces the memory and time consumption.