In this paper,we consider the global well-posedness of 3D inhomogeneous incompressible Navier-Stokes equations with density-dependent viscosity when the initial velocity is sufficiently small in the critical Besov space(B)1/22,1.Compared with the previous result of Abidi and Zhang(2015),our research removes the smallness assumption on the viscosity μ(ρ0)-1 in terms of L∞-norm.