Objective To study the effects of ink viscosity and separation speed on the satellite droplets at the third stage of Gravure-Offset process, namely, during the transferring of ink from blanket to substrates. Methods From theoretical point of view, the relation between viscosity, separation speed and satellite droplets were analyzed using Maxwell viscoelastic model. We then simulated the third stage of Gravure-Offset process, namely, ink transferring between the two separating plates, in order to demonstrate the relation among them. Results When the separation speed v and μ viscosity were 0.1 m/s and 0.25 Pa· s, respective, there were four relatively concentrated satellite droplets with almost the same size. When the speed v and μ viscosity were low, there were few satellite droplets, but there must be a largest satellite droplet among them. When the speed v and μ viscosity were large, there were many dispersive and small satellite droplets. Conclusion The separation speed v and μ ink viscosity were positively correlated with the amount of satellite droplets generated. At a certain printing speed（separation speed）, ink with low viscosity and high elasticity should be chosen to decrease the stress relaxation time of the ink, thus reduce or eliminate satellite droplets.