Due to the time-varying characteristics of the durability of a concrete structure, a long duration of exposure and monitoring in natural conditions is required. The present research provided the indoor accelerated life testing of concrete, which simulated the special natural environments in the Xining area, including solar radiation, dry-wet circulation, freeze-thaw cycle, and salt corrosion. The measured dynamic modulus was taken as an evaluation index for the durability of concrete, and the change of the relative dynamic modulus of the specimen was studied. Meanwhile, a two-parameter Weibull distribution and three-parameter Weibull distribution were proposed based on the stochastic analysis method in order to assess the durability of concrete structure. It has been observed that the indoor accelerated life testing of concrete can make up for the shortcomings of long-term exposure under natural conditions. The variation of the relative dynamic modulus can effectively reflect the durability of the concrete degradation process. By contrasting two methods of stochastic analysis, the three-parameter Weibull distribution method is better to fit the accelerated life data of concrete specimens and to evaluate the durability of concrete structures during service.