  We present the first lattice calculation of the B-meson binding energy
$\labar$ and of the kinetic energy $\lambda_1/2 m_Q$ of the heavy-quark inside
the pseudoscalar B-meson. In order to cancel the ambiguities due to the
ultraviolet renormalons present in the operator matrix elements, this
calculation has required the non-perturbative subtraction of the power
divergences present in the Lagrangian operator $\energy$ and in the kinetic
energy operator $\kkinetic$. The non-perturbative renormalization of the
relevant operators has been implemented by imposing suitable renormalization
conditions on quark matrix elements in the Landau gauge.
