  Let $G$ be a semisimple real algebraic Lie group of real rank at least two
and $U$ be the unipotent radical of a non-trivial parabolic subgroup. We prove
that a discrete Zariski dense subgroup of $G$ that contains an irreducible
lattice of $U$ is an arithmetic lattice of $G$. This solves a conjecture of
Margulis and extends previous work of Hee Oh.
