This paper introduced a new variable step-size hybrid block scheme for the numerical solution of ordinary differential equations (ODEs). Some classes of differential equations encounter reduced accuracy or stability issues when fixed step-size methods are used. The proposed approach introduces a scaling factor that changes the step size as the numerical iteration progresses. Stability properties of the proposed scheme are also analyzed. The method is discovered to be zero stable, A-stable, and convergent, which serves as a good alternate approach for solving ODEs.