Based on the idea of Yeung-Wong-Chen�s graphic-based non-trial-and-error method for three-parameter lag-lead compensator design and Wang�s recent result on the exact and unique solution for single lag and lead compensator design, a new non-trial-and-error procedure is developed. The new approach is analytical and can be carried out by computer programs without manual graphical manipulations, thus provides the basis for more sophisticated design and performance analysis. Results obtained in this paper can be used to simplify and enhance current teaching and industrial practices for lag-lead compensator design in control and communication systems.