The effect of a insoluble solid inclusion on optical property of a haze droplet is investigated. The efficiencies such as scattering, absorption, and extinction of a haze droplet with five nuclei including cellulose, quartz, polystyrene, hematite, and soot are calculated by using a core- shell model, respectively. Besides the haze size, the parameters including size of non- absorbent nucleus, weak- absorbent one, strong- absorbent core are discussed. The results showed that scattering of a PM2.5 haze droplet with a non-absorbent nucleus is stronger than that with an absorbent one. The scattering of a PM2.5 haze droplet is nonlinearly dependent on its size parameter y, the nucleus size x, and the complex refractive index m1. Absorption of the droplet is determined by its relative diameter β and m1. The above results may give guidance for further study on accurate assessment of haze visibility and laser diagnostics of multiphase flow complex medium in high humidity environment.