This paper introduces a new integral transform called the Sumudu transformation, which offers unique advantages. Unlike other transforms, Sumudu allows for the preservation of units, making it highly relevant in engineering applications. This paper defines the Sumudu transform, explores its properties, and demonstrates its applicability in solving linear ordinary differential equations. The Sumudu transforms ability to handle non-constant coefficients in equations is highlighted, making it a valuable tool for engineers and scientists dealing with a wide range of differential equations. Ultimately, Sumudu transformation proves to be a versatile and powerful technique for solving differential equations in both the time and frequency domains.