A chain connector assembly machine comprises a driving device, a working rotating disc, a pin roll delivery device, an outer piece delivery device, a piece assembly device, a round riveting device and a control device. The round riveting device comprises a first round riveting device and a second round riveting device. The driving device is connected with the working rotating disc, 12 pairs of grooves are evenly arranged outside the working rotating disc, the pin roll delivery device is connected with a first pair of grooves, the outer piece delivery device and the piece assembly device are connected with a third pair of grooves, the first round riveting device is connected with a sixth pair of grooves, the second round riveting device is connected with a ninth pair of grooves, and a finished product outlet is arranged at the position of the eleventh pair of grooves. The control device controls the driving device, the pin roll delivery device, the outer piece delivery device, the piece assembly device, the first round riveting device and the second round riveting device. The chain connector assembly machine improves reliability and action synchronism in the production process and avoids loss caused in the production process.