  In this paper we study \textit{right Mori Orders}, which are those prime
Goldie rings that satisfy the ascending chain condition on regular integral
right divisorial right ideals. We will show that the class of right Mori orders
is closed with respect to Morita-equivalence. We also prove that each regular
right divisorial right ideal of a right Mori order is contained in only
finitely many right divisorial completely prime right ideals. Moreover, we show
that such right divisorial ideals can be represent as a finite intersection of
$\nu$-irreducible ideals of the form $aS:_rb$ for some regular $a,b\in S$.
