The theory of quantum calculus has attracted the attention of many authors in recent years due to its many applications in various branches of pure and applied sciences. Several inequalities have been provided in the literature using quantum derivatives and integrals by many authors. Recently, the concept of post quantum derivatives and integrals, which are generalizations of the quantum derivatives and integrals, were introduced in the literature. In this paper, the authors establish some inequalities of Hermite-Hadamard type using the post quantum calculus for functions whose post quantum derivatives in absolute value to certain powers are h-preinvex. The results thus extend some existing results in the literature. The results in this paper are well established and quite easy to follow. I believe it will inspire experts in this field to conduct further research on the topic.