The invention relates to a catalyst for propylene polymerization, a preparation method and an application thereof, the preparation method comprises the steps of dissolving magnesium halide in a mixed solvent of organic epoxy compounds and organic phosphorus compounds for forming uniform solution, wherein, each mole of magnesium halide comprises 0.2-10 moles of organic epoxy compounds and 0.1-3 moles of organic phosphorus compounds; mixing the uniform solution with titanium tetrahalide and precipitating solids in the presence of one or a plurality of precipitation assistants, wherein, each mole of magnesium halide comprises 0.5-150 moles of titanium tetrahalide and 0.03-1.0 mole of precipitation assistants; further carrying an electron donor on the solids and using titanium tetrachloride and an inert diluent to wash, thereby obtaining a solid catalyst containing titanium, magnesium, halogen, sulfonyl compounds and organic phosphorus compounds; wherein, the electron donor is the sulfonyl compounds, and the precipitation assistants are organic acid anhydrides, organic acids, ketones or ethers.