  The one loop Renormalization Group Equations for the Yukawa couplings of
quarks are solved. From the solution we find the explicit energy dependence on
$t=\ln E/\mu $ of the evolution of the {\em down} quark masses $q=d,s,b$ from
the grand unification scale down to the top quark mass $m_{t}$. These results
together with the earlier published evolution of the {\em up} quark masses
completes the pattern of the evolution of the quark masses. We also find the
energy dependence of the absolute values of the Cabibbo-Kobayashi-Maskawa (CKM)
matrix $|V_{ij}|$. The interesting property of the evolution of the CKM matrix
and the ratios of the quark masses: $m_{u,c}/m_{t}$ and $m_{d,s}/m_{b}$ is that
they all depend on $t$ through only one function of energy $h(t)$.
