Theoretically, the effect of scattering and absorption in the detected light path on the computational ghost imaging can approximately equal the multiplicative noise, and it can be eliminated. The impulse response function model of the point light source in a smoke screen was established using the Monte Carlo method. The influence of the smoke screen in different states on imaging was analyzed, and the feasibility of penetrating smoke imaging was discussed. Results show that when the intrinsic noise N_i=0, the effect of the scattering medium on the resulting imaging can be deemed negligible. Moreover, the applicable scene of the computational ghost imaging technology in a smoke medium was summarized. The research has important reference significance for computational correlation imaging applications.