A silastic damping material (DOPO-PMVS PVMQ) with supermolecule interaction was prepared by introducing 9, 10-dihydro-9-oxa-10-phosphapehenanthrene -10-oxide (DOPO) into polyvinyl silicone oil. And a fractional derivative Kelvin-SI model with supermolecule corrected item was established via researching on the interaction and the influence of the damping properties between DOPO and the material matrix. Then the properties of the material at various frequency and temperature were studied by characterizing the dynamic mechanical properties using the new model. It is found that the supermolecule interaction between DOPO and the silastic material can effectively improve the damping properties of the material. And the storage and the loss moduli of the material could be accurately described at various temperatures (240~420 K) and different frequencies (1~100 Hz) by the new model. The dynamic moduli decrease with the increasing of temperature or decreasing of the frequency. And the storage modulus is between 0.4 MPa and 0.8 MPa while the loss factor between 0.15 and 0.3. The contribution rate of the model correction is between 30% and 60% within a wide temperature and frequency range. With the increase of temperature and frequency, the contribution rate decreases gradually, but it is still above 20%.