A dynamic creep test was proposed as a new method for evaluating the ability of modified asphalt binders to maintain their elastic response. The test was readily proposed to evaluate the resistance to rutting of asphalt pavements. The authors are reporting the analysis of results of the dynamic creep test on several conventional and oxidized asphalts and blends of conventional asphalts with two polymers. The used polymers were styrene-butadiene-styrene and styrene-(ethylene-co-butylene)-styrene. The effects of temperature, material (base asphalt and polymer modifier), applied stress level, and oxidation were investigated. The possibility of using linear viscoelastic models for the description of the dynamic creep test was also studied.