We have studied the phase transition and superconductivity of InSb films condensed on substrate at low temperatures and obtained the following new experimental results: (a) First jump of conductance is spontaneous and independent of temperature in the temperature region in which InSb films were condensed, (b) After second jump of the conductance appears and reaches a peak, the conductance drops quickly and is accompanied by the formation of crystalline semiconductor phase as annealing temperature is increased further. But experimental results show that it is a metastable crystalline phase and third jump of the conductance takes place as annealing temperature is raised further. The phase formed after third jump of the conductance is a metallic one, but it does not become superconductive until 1.5 K. (c) Superconducting transition temperature of the phase formed after first jump of the conductance is different along with different temperatures of the substrate.