Non-isothermal　crystallization　kinetics　of　isotactic　polypropylene　(iPP)　was　simulated　with　the　assumption　that　the　non-isothermal　crystallization　process　was　composed　of　some　finite　isothermal　crystallization　processes,　while　each　isothermal　crystallization　process　consists　of　three　main　steps　induction,　nucleation　and　crystal　growth.　In　the　simulation,　induction　time　was　taken　into　account,　allowing　one　to　make　predictions　on　the　start　of　the　non-isothermal　crystallization　of　iPP:　nuclei　density　was　treated　as　a　function　of　temperature:　the　Hoffman-Lauritzen　theory　was　employed　to　describe　the　spherulite　growth　rate　varied　with　temperature,　and　the　relative　crystallinity　was　determined　by　the　equation　of　Kolmogorov.　Finally,　model　prediction　was　verified　by　quantitative　comparison　between　the　theoretical　results　with　the　experimental　results.　(C)　2010　Elsevier　B.V.　All　rights　reserved.