The invention relates to a multi-shaft hole honing machine which comprises a machine tool, a multi-shaft tool, universal joints, honing knives and a indexing fixture, wherein the multi-shaft tool is connected with a main shaft of the machine tool; a plurality of branch shafts are arranged on the multi-shaft tool; each branch shaft is connected with the upper end of the corresponding universal joint; the lower end of each universal joint is connected with one honing knife; and the indexing fixture is fixed to a base of the machine tool. According to the multi-shaft hole honing machine, through the arrangement of the multi-shaft tool, the universal joints and the indexing fixture, the main shaft can drive a plurality of branch shafts to rotate at the same time, a plurality of valve holes can be honed at a time, the manufacturing tolerance can be effectively decreased, the quality of a product is improved, and the production efficiency can be effectively improved.