Abstract: Based on the Kachanov-Rabotnov damage model, this paper proposes a non-ordinary state-based peridynamics method to investigate the creep deformation and damage behavior of metallic materials in high-temperature environments. By introducing continuity factors and damage variables, the Kachanov-Rabotnov model effectively describes the material degradation process and the creep fracture behavior. To better capture this process, the paper extends the bond-associated peridynamics by considering the non-local interactions between material points, and establishes the relationship between the creep strain increment, damage parameter increment, and total strain increment. The relevant equations are solved using explicit integration. The results demonstrate that this method can accurately simulate the evolution of creep damage in alloy steels subjected to varying stress conditions, with simulation outcomes aligning closely with experimental data, thereby validating the efficacy of the proposed approach. This paper elucidates the creep characteristics of different materials, revealing the impact of stress on creep behavior. In summary, this work provides a novel theoretical framework and numerical implementation method for understanding the creep damage in metallic materials under high-temperature conditions, which holds significant implications for the reliability analysis of engineering materials.