Analysis of the pavements and their ingredients has always been important due to a better understanding of their behavior under different conditions and leads to better understanding and providing more accurate relations. Due to the extent of asphalt mixture application in the world, assessment of different behaviors of these mixes is very important from the various aspects of performance and safety. Given that the asphalt mixes are inherently very sensitive to temperature changes due to bitumen content, identification and analysis of the viscoelastic and visco-elasto-plastic behavior of the mixes is of particular importance. This research aims at performance evaluation of Burgers model and anew proposed model based on genetic programming techniqe in estimating visco-elastic behavior of asphalt concrete. For this purpose, a number of dynamic creep tests under various temperatures and different stress levels were done. Results showed that performance of the new proposed model based on genetic programming techniqe is quite satisfactory. Also, the new proposed model will help more researchers, willing to perform similar studies, without carrying out destructive tests.