A numerical method based on parametric spline with adaptive parameter is given for the second order singularly perturbed two-point boundary value problems of the form  y  p(x)y  q(x)y  r(x); y(a)  ; y(b)  The derived method is second-order and fourth-order convergence depending on the choice of the two parameters  and  . Error analysis of a method is briefly discussed. The method is tested on an example and the results found to be in agreement and support the predicted theory.