In order to make up for the poor storage stability and anti-UV aging properties of SBS modified asphalt and take advantage of carbon nanotubes in composite enhancement, the carbon nanotubes/SBS composite modified asphalt was prepared by high speed shearing. Through testing the penetration, ductility and softening point of each sample with different blending ratios, the influence of carbon nanotubes on the high and low temperature and temperature-sensitive properties of SBS modified asphalt was analyzed. The dynamic shear rheological test, the bending beam rheological test and the brookfield viscosity test were used to test the properties of high temperature rheology, low temperature creep and construction workability of modified asphalt. Ultraviolet environment box was used for processing the accelerated photo-aging test to evaluate the effect of carbon nanotubes in anti-UV aging. The results show that carbon tubes can improve softening point and viscosity of SBS modified asphalt, improve high temperature rheological properties and UV aging resistance, have no effect on ductility and low temperature creep properties. When the content of carbon nanotube is 1%, the comprehensive properties of composite modified asphalt are superior.