The article studied the following fundamental problems on the degradation of elastomers by heat and/or radiation by using the measurement of chemical stress relaxation. (1) The efficiency of scission and crosslinking of elastomers by radiation. (2) The continuous and intermittent chemical stress relaxation of tetrafluoroethylene-propylene elastomer was measured at 100°C under the irradiation of 60Co γ rays. The G value of crosslinking (Gc) was found to be 0.88 and the G value of scission (Gs) was 1.89 by this method. On the other hand, Gc and Gs values of the polymer, as obtained from a Charlesby-Pinner plot (sol fraction method) were 1.22 and 2.54, respectively. (3) The method how to express the magnitude of synergism between heat and radiation: The rate of continuous chemical stress relaxation under heat and radiation Kh+r is expressed as Kh+r = Kh + Cc Iα exp(–E'/RT), where Kh is the rate of stress relaxation by heat alone, I is dose rate, E' is the coefficient of synergism, R is the gas constant, T is the temperature (in K), and Cc is the constant which refers to the sensitivity for radiation. The exponent α shows the dose rate dependence. (4) The difference between heat aging and radiation induced degradation of elastomers: Pure vulcanized ethylene-propylene copolymer was irradiated with 60Co γ rays in air at room temperature. The rate of chain scission of irradiated samples by heat was independent from the dose and was found to be ten times higher than that of non-irradiated samples. The results suggest that irradiation consumes the antioxidant agents added during the polymer production process by the energy transfer from polymer to antioxidant agents. On the other hand, the rate of stress decay of non-irradiated samples increased with the heat aging time at all temperatures. In this case, heat degrades polymer and antioxidant agent simultaneously. (5) Pure vulcanized tetrafluoroethylene-propylene elastomer was irradiated by 60Co γ rays in air at room temperature. The chemical stress relaxation of the samples was measured at various temperatures ranging from 100°C to 200°C. The rate of scission increased with increasing dose, but the rate leveled off at about 100 kGy. The increase in scission by irradiation might be due to the initiation of autoxidation by thermal decomposition of hydroperoxide accumulated during irradiation.