  The author is mainly interest in the Gr\"{o}bner-Shirshov bases of finite
Coxeter groups. It is known that the finite Coxeter groups are classified in
terms of Coxeter-Dynkin diagrams. Under the fixed order, it is worth mention
that the presentation of group determines the Gr\"{o}bner-Shirshov bases of
group. In this paper, the author rearranges the generators, marks them on
Coxeter-Dynkin diagrams, and gets a simple presentation of the
Gr\"{o}bner-Shirshov bases for Coxeter groups of types $G_2, F_4, E_6$ and
$E_7$. This article also gives the Gr\"{o}bner-Shirshov basis of Coxeter group
of type $E_8$.
