  Let $N$ be a closed orientable connected $n$-manifold, $n\ge 4$. We classify
embeddings of the punctured manifold $N_0$ into $\R^{2n-1}$ up to isotopy. Our
result in some sense extends results of J.C. Becker -- H.H. Glover (1971) and
O. Saeki (1999).
