Philosophy begins with substance and accident investigation and with the passage of time it becomes robust and brings forth the diverse and even conflicting views. One of the fundamental topics in peripatetic philosophy is a belief for substance, sc the first matter that plays a crucial role in its cosmology and the discussion of it is considered as one of the oldest debates in peripatetic philosophy. Peripatetics prove the existence of first matter through the several arguments. Suhrawardi criticizes Peripatetics’ first matter and rejects it. In this article we glance at the history of substance and accident, definition of substance and accident, their number, kinds of substance, Peripatetics’s reasons for the existence of first matter; we relate the demonstration of junction and disjunction, power and act, porosity and condensation, then Suhrawardi’ criticism on the Peripatetics’ first matter. Thereafter, we compare and evaluate those two views and eventually it becomes clear that the peripatetic perspective has not a logical support.