The authors give general forms of a certain class of rational solutions of the fifth Painlevé equation

${P}_{5}$ with exploiting universal characters introduced by Koike. The class which they are considering here is that of the rational solutions of

${P}_{5}$ not appearing on any wall of the parameter space of

${P}_{5}$ with respect to the

${A}_{3}$-Weyl-group action. This work is considered as a continuation of a series of previous works in which the same authors gave analogous formulas of rational solutions of the second, third and fourth Painlevé equations. The main result in this paper is a generalization of the result obtained by Noumi and Yamada in a special case of the parameters of

${P}_{5}$.