To provide furthermore another dampening device for a lithographic press.

A transfer roller 4 as well as a dampening roller 3 can be swung by using a swinging shaft 8 as a center offset to the roller shaft 6 of the dampening roller 3. The swinging shaft 8 is substantially positioned on a tangent line passing through a tangent point 14 on a circumference side formed with the transfer roller 4 as well as the dampening device roller 5. This dampening device 1 is pref. constituted as an emulsion thin layer dampening device.