  We study the convergence to the multiple Wiener-It\^{o} integral from
processes with absolutely continuous paths. More precisely, consider a family
of processes, with paths in the Cameron-Martin space, that converges weakly to
a standard Brownian motion in $\mathcal C_0([0,T])$. Using these processes, we
construct a family that converges weakly, in the sense of the finite
dimensional distributions, to the multiple Wiener-It\^{o} integral process of a
function $f\in L^2([0,T]^n)$. We prove also the weak convergence in the space
$\mathcal C_0([0,T])$ to the second order integral for two important families
of processes that converge to a standard Brownian motion.
