In the field of optics, supercontinuum has become an important research direction in nonlinear optics due to its extremely wide spectral range, high brightness, and excellent coherence. It is widely applied in spectroscopy, optical communication, and astronomy. This paper proposes a novel method for supercontinuum generation using continuous-wave pumping in lithium niobate waveguides. Based on the nonlinear Schrodinger equation, we numerically simulate the supercontinuum generation process by pumping the lithium niobate waveguide with continuous-wave at an average power of 30 W. The results demonstrate that this approach can successfully generate a supercontinuum over a spectral range exceeding 1200 nm, with a spectral flatness of ±2.5 dB. Compared with existing supercontinuum generation schemes, this method not only significantly enhances both the spectral broadening range and uniformity, but also simplifies the system architecture, making it more efficient and easier to integrate into on-chip photonic devices.