This invention relates to asphalt compositions. More specifically, this invention relates to asphalt binder compositions including asphalt, elemental sulfur and polyethylene wax, and methods of making the same. In some aspects, the invention provides a sulfur wax asphalt binder composition that includes a base asphalt having viscoelastic properties, an elemental sulfur, and a polyethylene wax. The polyethylene wax is combined with the base asphalt and the elemental sulfur to create the sulfur wax asphalt binder composition. The polyethylene wax is present in the sulfur wax asphalt binder composition in an amount effective to increase the viscoelastic properties as compared to the viscoelastic properties of the base asphalt.