Multi-position integrated polishing machine and polishing method

The invention provides a multi-position integrated polishing machine and a polishing method, and relates to the technical field of polishing. The multi-position integrated polishing machine comprises a rack, a lower disc assembly, a transferring assembly and a first polishing assembly. The lower disc assembly comprises a lower polishing piece and a jig, and the lower polishing piece is movably arranged on the rack; the transferring assembly comprises a transferring driving piece, a transferring arm and a fixing piece, the driving end of the transferring driving piece is connected with the transferring arm, and the transferring arm is connected with the fixing piece. The transferring assembly can feed the product to the lower polishing piece, the bottom of the product is polished through the lower polishing piece, the product is fed to the jig, and the jig replaces the fixing piece to fix the product so that the first polishing assembly can polish the top of the product. The bottom and the top of the product c