  A nonperturbative model for the QCD invariant charge, which contains no
low-energy unphysical singularities and possesses an elevated higher loop
corrections stability, is developed in the framework of potential approach. The
static quark-antiquark potential is constructed by making use of the proposed
model for the strong running coupling. The obtained result coincides with the
perturbative potential at small distances and agrees with relevant lattice
simulation data in the nonperturbative physically-relevant region. The
developed model yields a reasonable value of the QCD scale parameter, which is
consistent with its previous estimations obtained within potential approach.
