Within the framework of FRW cosmology, we study the structure formation in the presence of interaction between viscous modified ghost dark energy (MGDE) and dark matter (DM). For a spatially non-flat FRW universe containing MGDE and DM, we solve numerically the differential equation governing the MGDE density parameter. Consequently, we obtain the growth rate of matter for our model in a linear perturbation regime. We conclude that the evolution of DM density perturbation in the presence of interaction with viscous MGDE shows a suppression of growth of structure.