  We study the binding energy and the width of the $\Theta^+$ in nuclei,
associated to the $K N$ and $ K \pi N$ components. The first one leads to
negligible contributions while the second one leads to a sizeable attraction,
enough to bind the $\Theta^+$ in nuclei. Pauli blocking and binding effects on
the $K N$ decay reduce considerably the $\Theta^+$ decay width in nuclei and
medium effects associated to the $ K \pi N$ component also lead to a very small
width, as a consequence of which one finds separation between the bound levels
considerably larger than the width of the states.
