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By means of the EOS of QCD at zero temperature and finite quark chemical potential we proposed[Phys.Rev.D 78(2008)054001]in the framework of rainbow-ladder approximation of Dyson-Schwinger approach,we investigate the structure of quark star and its property.It is found that the mass-radius relation in our model is very different from that of usual quark star models,but similar to neutron star models.The obtained mass of quark star is about 1.75M⊙～2.2M⊙.The obtained radius of quark star is 22～26 km,which is obviously larger than the results in other models.The reason for this discrepancy is analyzed.