The molecular cluster model for the homogeneous bubble nucleation rather than the classical nucleation theory was extended to predict the bubble nucleation events in elastomers(cross-linked polymers), polymers and polymer which are dissolved in the organic solvent. The classical theory assumes the formation of the critical bubble while the molecular cluster model assumes the critical cluster as for the initiation of the bubble nucleation. For the bubble nucleation in elastomers and polymers, the strain energy overcome by a critical bubble was also considered. The calculation results for the number of bubbles nucleated in elastormers and polymer solutions, which are about 10$^$8/∼10$^$12/ bubbles/㎤ are in good agreement with observed ones