The current paper is devoted to the Cauchy problem for the stochastic generalized Benjamin-Ono equation.By establishing the bilinear and trilinear estimates in some Bourgain spaces,we prove that the Cauchy problem for the stochastic generalized Benjamin-Ono equation is locally well-posed for the initial data u0(x,ω)∈ L2(Ω;Hs(R))which is F0-measurable with s≥1/2-α/4 and Φ ∈ L0,s2.In particular,when α = 1,we prove that it is globally well-posed for the initial data uo(x,ω)∈ L2(Ω;H1(R))which is F0-measurable and Φ ∈ L0,12.The key ingredients that we use in this paper are trilinear estimates,the It? formula and the Burkholder-Davis-Gundy(BDG)inequality as well as the stopping time technique.