  We call that a vector field has the oriented shadowing property if for any
$\varepsilon>0$ there is $d>0$ such that each $d$-pseudo orbit is
$\varepsilon$-oriented shadowed by some real orbit. In this paper, we show that
the $C^1$-interior of the set of vector fields with the oriented shadowing
property is contained in the set of vector fields with the $\Omega$-stability.
