The invention discloses a high-activity amorphous silica-alumina, a hydrocracking catalyst supported by amorphous silica-alumina, and preparation methods thereof. The preparation method of the amorphous silica-alumina supporter comprises the following steps: preparing a silicon source-aluminum source mixed water solution, mixing the mixed water solution with a precipitant solution, carrying out cocurrent flow coprecipitation to obtain a precipitated slurry, transferring the slurry into a closed vessel, aging, molding, and roasting. The invention also provides a preparation method of a hydrocracking catalyst by using the amorphous silica-alumina as the supporter. The preparation method of the hydrocracking catalyst is as follows: in the preparation method of the amorphous silica-alumina supporter, a nickel salt or nickel salt and metal aid M salt is/are added into the silicon source-aluminum source mixed water solution in the step (1), and the rest steps are the same as those in the preparation method of the amorphous silica-alumina supporter. The coprecipitation process is adopted in the preparation process, and the silicon source and aluminum source finally exist in the catalyst in the form of the amorphous silica-alumina, but the catalyst has much higher activity than the common amorphous silica-alumina catalyst.