  We present the next-to-next-to-leading order relation between the moments of
the $\Upsilon$ system spectral density and the inclusive $B$-meson semileptonic
width. The perturbative series for the width as an explicit function of the
moments is well convergent in three consequent orders in the strong coupling
constant that provides solid and accurate theoretical estimate. As a result,
the uncertainty of the value of $|V_{cb}|$ Cabibbo-Kobayashi-Maskawa matrix
element is reduced.
