In the actual underground energy extraction projects, the long-term stability of the well wall surrounding rock through the layered rock body often faces the influence of complex factors such as joints, thermal and cooling. The laminated limestone as a common rock type with obvious laminated structure and petroleum reservoirs, under high temperature environment can directly relate to the stability and safety of underground engineering structures. This paper investigates the creep characteristics of laminated limestone under high-temperature natural cooling and water cooling, analyzing the correlation between creep deformation, creep rate, long-term strength, and the angle of laminations, temperature, cooling mode. It then introduces a non-constant fractional-order cohesive body to construct an improved model based on these findings. The results indicate that under the same temperature and cooling method, as the lamination angle increases, the long-term strength shows a V-shaped trend, while the creep rate shows an inverted V-shaped trend. Specifically, the water cooling conditions at 500 °C (0°, 30°, 45°, 60°, and 90°) are 85.75 MPa, 71.24 MPa, 42.30 MPa, 61.52 MPa, and 87.40 MPa, respectively. For specimens with the same lamination angle, the creep mechanical properties of specimens cooled by water are more deteriorated than those cooled naturally. Taking the 100 °C action stratified limestone, long-term strength (0°, 30°, 45°, 60°, 90°) corresponding to natural cooling are 120.15 MPa, 106.12 MPa, 72.71 MPa, 91.43 MPa, and 123.32 MPa, respectively, while the long-term strengths corresponding to water cooling are 116.96 MPa, 100.97 MPa, 70.65 MPa, 85.34 MPa and 119.63 MPa, respectively. Finally, by comparing with the experimental results of nodular limestone under different cooling methods, it is found that the creep damage model proposed in this paper is not much different from the experimental curves, and it can effectively express the creep deformation and mechanical behavior of laminated limestone after high temperature. The results and findings are important for optimizing the design and prevention of potential underground energy extraction project disasters, and also provide important data support.