Polytropic models are constructed for Bok globules, and the calculated density distributions are used to obtain theoretical curves of Aupsilon versus radius. These curves, when compared with observations, will provide the density structure and the temperature required to prevent collapse for the globules. Also used are published values of Aupsilon versus radius for B361 and Coalsack globule 2 and it is found that B361 resembles an n = 1.75 polytrope while globule 2 resembles an n = 2.5 polytrope. Therefore, at densities of about 100,000/cu cm these two globules are centrally condensed. It can also be predicted that if their measured temperatures turn out to be no greater than about 12 K, then they are already collapsing.