  Let $(X, T^{1,0}X)$ be a connected orientable compact CR manifold of
dimension $2n+1$, $n \geq 1$ with non-degenerate Levi curvature. In this paper,
we study the algebra of Toeplitz operators on $X$ and we establish star product
for some class of symbols on $X$. In the second part of this paper, we consider
a compact locally free Lie group $G$ acting on $X$ and we investigate the
associated algebra of $G$-invariant Toeplitz operators.
