To address the challenges of machine tool reliability modeling and the lack of reliability data, a reliability assessment method integrating lifetime information with multi-performance degradation information is proposed, starting from the basic motion units. Using the function-motion-action (FMA) decomposition method, the machine tool is broken down into its smallest motion units, i.e., the meta-action units. The reliability level of the machine tool is ensured by accurately assessing the reliability of the key elemental action units. A non-linear Wiener process model under random effects is developed to capture individual variations, shared characteristics, and non-linearity in degradation processes. To address limited degradation data, a reliability model incorporating failure life information is established using Bayesian methods. Finally, considering correlations among multiple performance degradation failures, a comprehensive reliability assessment model is formulated using the Copula function, with parameter estimation achieved via the MCMC-Gibbs sampling algorithm. Focusing on the worm gear rotation meta-action unit of a specific computerized numerical control gear hobbing machine, case studies and comparative analysis highlight the method’s feasibility and superiority.