Summary: The definitions of pro-Banach algebra dynamical systems, pro-Banach crossed products and pro-Banach algebra reduced crossed products were introduced based on the concepts of pro-Banach algebras with a bounded approximate left identity, the local compact groups and the strong continuous actions of group on pro-Banach algebra. It was proved that the pro-Banach crossed product algebras and the pro-Banach reduced crossed product algebras associated with the given pro-Banach algebra dynamical systems are isomorphic when the group is compact.