The invention provides a fully-automatic multi-station nut riveting press, comprising a rack for supporting, as well as a hexagonal nut cap loading device, a multi-station hexagonal nut cap indexing positioning device, a hexagonal nut loading positioning device, a riveting device, an unloading device and a PLC (programmable logic controller) frequency converter touch screen automatic control system which are installed on the rack, wherein the riveting device comprises a riveting hydraulic cylinder, a press rod, a clamping-releasing slide block, a buffering spring, a bearing base and a hydraulic system; and the multi-station hexagonal nut cap indexing positioning device comprises a turntable and a plurality of hexagonal nut cap positioning dies. According to the invention, riveting automation for the nuts of a tire is realized, production efficiency is increased to a large extent, the occurrence of safety accidents is avoided, labour intensity is lightened, manpower input is reduced, cost is decreased, and enterprise competitiveness is enhanced.