The blending of NBR with NR was found to improve the physical and mechanical properties of NBR. The stress relaxation experiment was conducted in order to characterize the time-dependent reinforcement of the clay mineral reinforced NR/NBR nanocomposites. The study of the effect of filler loading showed a noticeable change in the relaxation rate. The rate of relaxation was found to decrease at lower filler loading while at higher filler loading, the rate of stress relaxation is increased. This higher relaxation rate is attributable to the decrease in polymer filler interactions. At higher loading, the increase in filler/filler interactions accelerates the stress relaxation. The nature of OMt was also found to influence the stress relaxation behavior. The O2Mt clay mineral showed lower relaxation rate comparedwith O2Mt because of its better interaction with the polymer matrix. Temperature also had an effect on the stress relaxation rate. Finally, it is important to add that, in order to design high performance polymer/polymer/OMt nanocomposites for dynamic applications, the OMt should have a high extent of dispersion in the matrix. The nature of modification in OMt determines the polymer/filler interactions. The experimental value of the stress relaxation curve fittedwell with the theoretical value of the stretched exponential Kohlrausch equation and the three elementsMaxwell–Weichertmodel with three relaxation times.