  An isometric immersion of a Riemannian manifold $M$ into a Riemannian
manifold $N$ gives rise in a natural way to variety of immersions into the
tangent bundle $TN$ with a non-degenerate $g-$ natural metric $G$. In the paper
we introduce and study an immersion into $TN$ defined by the immersion
$f:M\longrightarrow N$ itself and the normal bundle.
