To meet the requirements for multi-station, high-precision machining of large workpieces, a walking parallel riveting robot based on an 8-UPS parallel mechanism was proposed. First, an inverse kinematic model of the mechanism was established to solve for the extension and retraction lengths of each drive rod. Second, the mechanism’s velocity was modeled, the Jacobian matrix was derived, and the relationship between the moving platform's velocity and the extension-retraction velocity of the drive rods was determined. Subsequently, based on the generalized load space of the parallel mechanism, the mechanism's static performance was analyzed and simulated. Finally, finite element simulations were conducted to evaluate the overall strength and stiffness of the whole machine under the most severe operating condition, where the riveting gun bears the maximum load. The simulation results indicate that the working space of the walking parallel riveting robot exhibits stable static performance and is capable of completing wing riveting tasks with the correct posture, good accuracy, and a smooth operation process.