  For a one dimensional diffusion process $X=\{X(t) ; 0\leq t \leq T \}$, we
suppose that $X(t)$ is hidden if it is below some fixed and known threshold
$\tau$, but otherwise it is visible. This means a partially hidden diffusion
process. The problem treated in this paper is to estimate finite dimensional
parameter in both drift and diffusion coefficients under a partially hidden
diffusion process obtained by a discrete sampling scheme. It is assumed that
the sampling occurs at regularly spaced time intervals of length $h_n$ such
that $n h_n=T$. The asymptotic is when $h_n\to0$, $T\to\infty$ and $n h_n^2\to
0$ as $n\to\infty$. Consistency and asymptotic normality for estimators of
parameters in both drift and diffusion coefficients are proved.
