Abstract: Evolutionary models of stars of low mass in the mass range of 0.30 to 0.60 solar masses are presented. Each model begins from the threshold of stability and the evolution progresses up to the Zero Age Main Sequence (ZAMS). Particular attention has been paid to the treatment of the electron screening factors and recent values of thermonuclear reaction rates. A comparison for the effects of new opacity values and the one that is used in this study is also given.</p