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The influence of the irregular forces on the evolution of a triplehierarchical stellar system moving in the field of stars have been studied.Triple hierarchical stellar systems are stable in contrary to the stellarsystems with comparable distances between all components. We considered themotion in the frame of the general tree-body problem using differentialequations of the motion with the Hamiltonian without short-periodic terms.  For isolated triple stellar systems, where we took into account theperturbations until the third order, we obtained the solution in which the meanmotions of both components have the secular accelerations. Under the influenceof perturbations of the distant component the mean motion in the near pair isslowed and vice versa. The mean motion of the distant star is constantlyincreasing. These changes are small, but on the cosmological time interval thehierarchical systems will convert into stellar systems, in which all componentshave comparable distances between each other. Such systems become unstable.  In a general case, if we take into account the irregular forces, the angularmomentum of this system and its summary energy might be either loss or gain.These changes may influence on the dynamical evolution and stability of thestellar system.

The influence of the irregular forces on the motions in the three-body problem