Ink　transfer　is　achieved　by　the　squeezing　and　rotation　of　two　rollers,　one　of　which　is　a　roller　coated　with　a　viscoelastic　rubber　layer.　In　this　study,　the　force　caused　by　ink　hydrodynamic　pressure　on　the　rubber　roller　during　the　rotation　is　considered,　the　viscoelasticity　of　ink　and　rubber　is　equivalently　substituted　by　spring-damping　unit,　and　a　rolling　squeezing　theoretical　model　of　two　rollers　is　established　to　study　the　node　deformation　of　the　rubber　roller.　The　validity　of　the　theoretical　model　is　verified　by　experiments.　Results　show　that　the　deformation　of　the　rubber　roller　is　greatly　affected　by　the　roller　rotational　speed,　rubber　layer　thickness,　and　nip　width.　The　rotational　speed　and　nip　width　have　a　significant　influence　on　the　stiffness-damping　of　the　ink　layer　and　the　ink　force,　and　the　rubber　layer　thickness　has　a　remarkable　effect　on　the　squeezing　deformation　between　the　rollers.