  The new model for the QCD analytic running coupling, proposed recently, is
extended to the timelike region. This running coupling naturally arises under
unification of the analytic approach to QCD and the renormalization group (RG)
formalism. A new method for determining the coefficients of the "analytized" RG
equation is elaborated. It enables one to take into account the higher loop
contributions to the new analytic running coupling (NARC) in a consistent way.
The expression for the new analytic running coupling, independent of the
normalization point, is obtained by invoking the asymptotic freedom condition.
It is shown that the difference between the values of the NARC in respective
spacelike and timelike regions is rather valuable for intermediate energies.
This is essential for the correct extracting of the running coupling from
experimental data. The new analytic running coupling is applied to the
description of the inclusive $\tau$ lepton decay. The consistent estimation of
the parameter $\Lambda_{QCD}$ is obtained here.
