The primary purpose of this article is to introduce the Mamadu-Njoseh wavelets which make a series of orthogonal wavelets. The Mamadu-Njoseh wavelets are constructed by Mamadu Njoseh polynomials. The orthogonal wavelets have a huge contribution in numerical analysis as well as in approximation theory. We discuss several essential aspects of Mamadu-Njoseh wavelets such as the orthogonality, admissibility, and regularity condition. Also, the operational matrix of integral and derivative for Mamadu-Njoseh wavelets is constructed which are very useful for the simulation of several models.