Let $f: L_1 \cup L_2 \subset R^3 $ be a two-component link. The link $f$ is called a semi-boundary link if $lk( f(L_1);f(L_2))=0$. For an arbitrary semi-boundary link $f$ the integer Sato-Levine invariant $\beta$ of the isotopy class of $f$ is defined. We generalize the invariant $\beta$ and define this invariant for an arbitrary link $f$. We use an approach due to G.T.Jin (1987) and consider the invariant $\beta$ as a Vassiliev invariant of order 3.