In view of the existing rumor propagation model, the impact of non-supportive comments on internet rumor propagation has not been analyzed in detail. An SII _CR ₁R ₂(Susceptible-Infected-Infected with non-supportive comment-Removed1-Removed2) internet rumor propagation model was proposed by introducing rumor spreaders with non-supportive comments. Firstly, the steady-state analysis of the model was performed to prove the stability of rumor-free equilibrium and rumor propagation equilibrium. Secondly, the theoretical results were verified by the numerical simulation, and the impacts of non-supportive comment probability, recovery probability, propagation probability and the persuasiveness of non-supportive comments on internet rumor propagation were analyzed. The analysis results show that increasing non-supportive comment probability has an inhibitory effect on internet rumor propagation, but the effect is affected by the recovery probability, and enhancing the persuasiveness of non-supportive comments and reducing the propagation probability can effectively reduce the influence range of internet rumor. Simulations results on WS(Watts-Strogatz) small-world network and BA(Barabási-Albert) scale-free network confirm that non-supportive comments can suppress internet rumor propagation. Finally, according to the analysis results, the prevention and control strategies of rumor were put forward.