Thermal generation by power dissipation of the highly integrated System on Chip (SoC) device is irregularly distributed on the intra chip. It leads to thermal increment of the each thermally different region and effects on the propagation timing; consequently, the timing violation occurs due to the misestimated number of buffers. In this paper, the timing budgeting methodology considering thermal variation which contains buffer insertion with wire segmentation is proposed. Thermal aware LUT modeling for cell intrinsic delay is also proposed. Simulation results show the reduction of the worst delay after implementing thermal aware buffer insertion using by proposed wire segmentation up to 33% in contrast to the original buffer insertion. The error rates are measured by SPICE simulation results.