Many regions in Iraq with high weathering temperature suffer from very hot climate during a long summer season continue to more than 5 months with temperature rise to more than 50C°. Also, increasing road traffic and axial loads causing a permanent deformation that leads to decrease pavement performance and reducing its life. Asphalt binder is considered one of the most significant keys in flexible pavement and its characteristics have a great impact on asphalt mixtures so choosing the suitable type of asphalt binder may improve its performance and control on permanent deformation failures. In this research, Daurh and Basrah asphalt binders were chosen to be characterized and enhanced their properties by using some modifiers. Three types of modifiers were selected with different percentages, styrene-butadiene-styrene (SBS), butyl rubber (BR) and BG plus anti-stripping agent. The results showed Multi Stress Creep and Recovery (MSCR) test is a suitable technique to evaluate the improvement of asphalt cement. The degrees of improvement in the percent of recovery %R and the non-recoverable compliance Jnr values and percent of reduction accumulated strain at 0.1 and 3.2 kPa after asphalt modification is higher for the SBS followed by BR then BG plus and Durah asphalt binder has better rutting resistance than Basrah asphalt cement. The behavior of modified asphalt cement modeled as viscoelastic materials and predicted the sigmoidal model as a suitable mechanical model to represent this behavior.