We consider the global well-posedness of three dimensional incom-pressible inhomogeneous Navier-Stokes equation with different viscous coeffi-cients in the vertical and horizontal variables.In particular,when one of these viscous coefficients is large enough compared with the initial data and the ini-tial density is close enough to a positive constant,we prove the global well-posedness of this system.This result extends the previous results in[9,11]for the classical Navier-Stokes system.