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: This article is concerned with an exponentially fitted numerical integration method based on uniform mesh for solving singularly perturbed two point boundary value problems. Exact and approximate rule of integration with finite difference approximation of first derivatives are used to derive a three term scheme. Theory of singular perturbation is used to introduce a fitting factor in the derived scheme. Thomas algorithm is employed to solve the resulting tridiagonal system of equations. Convergence of the proposed method is also analyzed. Solutions of several linear and nonlinear example problems are presented in terms of maximum absolute errors (MAE) to show the applicability of the proposed scheme. It is easily observed that the proposed method is able to approximate the solution very well.