Phenylethynyl terminated KAPTON-type polyimide, “TriA-X” exhibits excellent mechanical properties with high glass transition temperature (>350℃), therefore it is suitable as the matrix resin of heat-resistant carbon fiber reinforced plastic (CFRP) composites. For structural design using heat-resistant CFRP, it is necessary to evaluate the mechanical properties at various temperatures, resulting in great amount of cost and time. The objective of this study is to propose a numerical simulation method for predicting non-hole unnotched compressive (NHC) strengths at arbitrary temperatures using micro- and meso-scaled simulation for targeting heat-resistant CFRP with TriA-X polyimide (CF/TriA-X). At first, the mechanical properties of TriA-X neat resin were evaluated at room temperature (RT), 200, and 250 °C. Stress–strain behaviors in 45 \(^\circ\) and 90 \(^\circ\) direction of unidirectional (UD)-CF/TriA-X were estimated by micro-scale simulation consisting of fiber and matrix with material parameters of the neat resin. The compressive strength in the fiber direction of UD-CF/TriA-X was estimated using a kink band model with the microscale simulation results. The NHC strength of cross-ply CF/TriA-X was estimated by meso-scale simulations using the compressive strength of UD-CFRP estimated by the kink-band model. As a result, it was demonstrated that the numerical results showed almost good agreement with the experimental results at room temperature.