In this paper, unified colored noise approximation is extended to treat the systems driven by Poisson colored noise cursive Greek chi = υ(cursive Greek chi) + gξcp(t). We arrive the evolution equation of the probability distribution Pi(cursive Greek chi, τ) and the stationary probability distribution ps(cursive Greek chi, τ). These equations are valid only if r(cursive Greek chi, τ) ≡ τ-1/2[1 - τG(cursive Greek chi)/g(cursive Greek chi)] (G(cursive Greek chi) ≡ υ′(cursive Greek chi)g(cursive Greek chi) - υ(g)g′(cursive Greek chi)) ...
