In last decade, many of researches have proposed to study materials with periodic structures,These structures can be engineered to realize novel electromagnetic properties and to achieve behaviors that are not found in naturally materials. These materials have negative permittivity and permeability .Those are called meta-material or Left Hand Material (LHM), They are fabricated, studied and analyzed within different applications of microwave and optical communication. Recently, the microwave engineering applications of artificial metamaterials have been widely discussed and various novel microwave components were achevid for example, filters, antennas and fiber optic. This paper studys and analyzes the reflection from fractal distribution of MMs layers in RHM medium, using the recursive method, and applies it in the design of microwave narrow band filters.