  In this paper the existence of a smooth density is proved for the solution of
an SDE, with locally Lipschitz coefficients and semi-monotone drift, under
H\"ormander condition. We prove the nondegeneracy condition for the solution of
the SDE, from it an integration by parts formula would result in the Wiener
space. To this end we construct a sequence of SDEs with globally Lipschitz
coefficients whose solutions converge to the original one and use some Lyapunov
functions to show the uniformly boundedness of the p-moments of the solutions
and their Malliavin derivatives.
