In this paper, we present a study of the phenomenon of lunar occultation of visible stars. In Indian astronomical texts, generally the lunar occultations of some particular visible stars like Regulus (α Leonis) and Spica (α Virginis) are considered important. We are presenting the results of the periodicity of this phenomenon. The instants of true conjunctions of the Moon with some of the stars are discussed. Further, these conjunctions are of greater interest when they turn out to be occultations. We have worked out the actual circumstances of some occultations of stars cited by earlier authors as also for modern times.