H. Furstenberg introduced the notion of central sets in terms of topological dynamics and established the famous Central Sets Theorem. Later in [A new and stronger Central Sets Theorem, Fund. Math. 199 (2008), 155-175], D. De, N. Hindman, and D. Strauss established a stronger version of the Central Sets Theorem that uses the algebra of the Stone-\v Cech compactification of discrete semigroups. In this article, We will provide a new and combinatorial proof of the stronger Central Sets Theorem.