  We formulate a QCD sum rule to find the three momentum dependence of the peak
position of the vector meson spectral density in nuclear medium. We find less
than 2 % (0.1 %) shift of the peak position at nuclear matter density and at
($q =0.5$GeV/c) for the $\rho,\omega (\phi$) mesons. However, at higher density
and three momentum, its effect becomes non-negligible. The relevance of our
result in the dilepton spectrum in A-A and p-A reaction is discussed.
