  This paper is devoted to the study of relativistic Vlasov-Maxwell system in
three space dimension. For a class of large initial data, we prove the global
existence of classical solution with sharp decay estimate. The initial Maxwell
field is allowed to be arbitrarily large and the initial density distribution
is assumed to be small and decay with rate $(1+|x|+|v|)^{-9-}$. In particular,
there is no restriction on the support of the initial data.
