The invention belongs to the field of filter manufacture, and particularly relates to a multi-station rotary riveting machine. A plurality of positioning seats are arranged on a rotating plate, an operation worker can continuously perform feeding operation, and the machine is controlled through an automatic system; the positioning seats can automatically enter punching stations for riveting, and the riveting efficiency is greatly improved; meanwhile, an unloading mechanism can automatically eject out riveted end covers from the positioning seats and enables the end covers to fall into a material collecting unit, the production efficiency is greatly improved, and the labor intensity of the operator is reduced; besides, in the down pressing process of a punch, a press plate is firstly attached with one end cover and tightly presses the end cover, a mold plate and a flange on a thread tube cannot rub with each other in the riveting process, the riveting quality is good, and the rivet appearance is attractive.