All-solid-state yellow Raman lasers working in the spectra range of 560~590 nm have promising development in recent years. However, it is still facing the problem of yellow spectrum impurity resulting from the multimode operation within the laser resonator. To solve this problem, a novel design of single-longitudinal-mode yellow Raman laser based on the twisted-mode-cavity combined with Raman couple cavity is proposed. It can suppress the multimode oscillations at the fundamental wavelength caused by the spacial hole burning effect in the laser gain medium, and then realize thesingle-longitudinal-mode operation at the yellow wavelength. The Raman couple cavity consists of a L-shape fundamental resonator and a linear Raman resonator, which can benefit from high intensity of intracavity fields to reduce the laser threshold. It also has advantage of flexible adjustment to optimize different resonators separately for the best laser performance. This design is of practical significance to enable single-lungitudinal-mode yellow laser source with milliwatt output power, which paves the way for applying yellow lasers in biomedicine, laser-guide-star and space target recognition.