A micro-structural mathematical model of relaxation and creep in elastomers filled with nanoparticles. The model takes into account the non-linear elastic resistance macromolecules, movable adhesive interaction between the elastomer and filler in the form of interfacial friction, the magnitude of which depends on the sliding velocity. The developed model opens the way to understanding the processes of relaxation and creep occurring in elastomeric nanocomposites.