Monod and Teissier models are the two most elegant mathematical models widely used to study the kinetic growth of microbial. Five new methods have been introduced to estimate the model parameters using the growth data of Escherichia Coli. The performance of the new methods has been analyzed by following a standard selection criterion. It is found from this study, that all newly introduced methods provide satisfactory results for both the candidate models. It is also observed that, the Monod model is provided a comparatively better fit than the Teissier model with the newly introduced method of estimations.