This study constructs a novel three-stages, diagonally implicits improved Runge-Kutta nystrom technique. The suggested approach was created to address second - order ordinary differentials equation (ODEs). A derived methods involves fewer steps than the current Runge-Kutta-Nystrom (RKN) methods, resulting in fewer function evaluations per step. A few numericals experiment is carried out to demonstrate effectiveness and robustness for a novel approaches.