Abstract: Let $H(t):=-\partial_x^2+x^2+V(\omega t)$ acting in $L^2(\R)$ denote the Hamiltonian of a $T:=2\pi/\omega$-periodically driven harmonic oscillator and $K:=-i\partial_t+H(t)$ the corresponding Floquet Hamiltonian which acts in $L^2( T S^1)\otimes L^2(\R)$. We shall give sufficient condition on the frequency $\omega$ and the size and the regularity of $V$ to insure that $K$ is pure point, i.e. this system is stable. Work in progress with M. Vittot.