The stability of a Harrison predator-prey model driven by symmetric trichotomous noises is studied in this paper. Using the ShapiroLoginov formula, the firstorder and secondorder moments of the linearized system are obtained. Then, the stability condition of the Harrison predator-prey model is given by using RouthHurwitz stability criterion. It is found that the stability of the system depends on the noise intensities and correlation time. Finally, some numerical results are performed to support the theoretical analyses.