This paper describes the study of the adhesion forces in a nano-or micro contact for a nano-lubrication. Here are elaborated the dependences between oil dynamic viscosity in super thin boundary layer and adhesion forces as well influences of adhesion forces in micro- and nano-level on the friction forces in micro- and nano-scale arising between two cooperating surfaces in micro-bearings.Up to now the influence of adhesion on oil viscosity changes and on the oil flow in micro-bearing gap was not considered in analytical way. Present paper elaborates the preliminary assumptions of hydrodynamic theory of lubrication for micro-bearing in the case if during the lubrication the adhesion forces are taken into account.In this paper are derived the formulas of pressure distributions, friction forces and friction coefficients where the adhesion forces are considered.The changes of adhesion forces in micro-contact of two bodies depend on the load direction. adhesion forces, micro- and nano-lubrication, micro-bearings