To study the influence of high temperature on the front curvature rate effect for insensitive high explosives, steady-state detonation velocities and wave shapes were obtained for TATB Based Insensitive High Explosives (IHEs) with three different diameters at the temperature 60 ℃ by using high speed streak camera technique and electric foil velocimetry. Results show that steady-state detonation velocities increase almost linearly with the diameter of TATB based IHEs at the temperature 60 ℃. For each charge diameter, steady-state detonation waves propagated slower and the wave shapes become much curved as the initial temperature increases. The D_n(κ) parameters of TATB based IHEs at the temperature 60 ℃ were obtained numerically using the genetic arithmetic method for DSD. By using these D_n(κ) parameters, the detonation propagation behaviors of TATB based IHEs at the temperature 60 ℃ were simulated with the DSD model. The numerical results agree well with the experimental ones.