The waveguide design is one of the most important parts in a terahertz quantum cascade laser(QCL). Si/SiGe QCL waveguides, based on the Drude model and finite-difference time-domain (FDTD) method, are designed by the traditional refractive index waveguide structure, the single-sided metal structure, the double-metal clad structure, and a novel metal/metal silicide structure. The metal/metal silicide structure, showing high modal confinement,is convenient in process engineering and is expected to be a viable waveguide solution for Si/SiGe QCLs in the THz range.