  We calculate the shadowing of sea quarks and gluons and show that the
shadowing of gluons is {\it not} simply given by the sea quark shadowing,
especially at small $x$. The calculations are done in the lab frame approach by
using the generalized vector meson dominance model. Here the virtual photon
turns into a hadronic fluctuation long before the nucleus. The subsequent
coherent interaction with more than one nucleon in the nucleus leads to the
depletion $\sigma (\gamma^* A) < A\sigma (\gamma^* N)$ known as shadowing. A
comparison of the shadowing of quarks to E665 data for $^{40}Ca$ and $^{207}Pb$
shows good agreement.
