Some progresses on study of heavy rainfall within the Meiyu front in the middle and lower reaches of the Changjiang River for the last five years are made as follow. 1. Muti-scales physical models of heavy rainfall within the Meiyu front based on the real-time observed data are proposed. 2. A synoptic model for heavy rainfall within the Meiyu front is established. 3. The structure of Meiyu front and its maintenance mechanism are discussed. 4. Several kinds of quantitative remote sensing retrieval theories and methods are proposed for meso-scale heavy rainfall; 5. Dual-Dopplor detecting methods and retrieval theories for meso-scale heavy rainfall are successfully studied. 6. The meso-scale heavy rainfall numerical prediction model system with 3Dvar is developed.