In this paper,an accurate micromagnetic model is built for CoPt-TiO₂ (16 nm)/Co-TiO₂(4 nm) exchange coupled magnetic recording media. Based on the microstructure,the effect of the magnetic parameters such as the anisotropy,the saturation magnetization of the soft layers on the magnetic properties of the media is investigated. In the M-H loop of CoPt-TiO₂ (16 nm) hard layer,the easy magnetization axis coercivity is 6.1 kOe and the squareness is 0.98. In the exchange coupled media,the coercivity decreases from 6.1 kOe to 4.9 kOe when the thickness δ of the soft layer increases from 0 nm to 4 nm. Meanwhile,we also found that the coercivity decreases when the anisotropy is lower and the saturation magnetization is larger in the soft layer.