Abstract: Considering the components whose service life accords with the Weibull distribution, the dependent failure of a parallel system comprising two components is analyzed to propose a method to transform the dependent failure into equivalent damage, thus analyzing further the dependent failure. Then, a dependence-failure reliability model based on the transform principle of equivalent damage and full probability formula is developed for the two components' parallel system, and it is verified by the Monte Carlo simulation. The results show that the reliability model of parallel system based on equivalent damage principle can reflect well the dependent failure of the two components and meet the equivalent damage principle. So, it is prior to the model just based on the equivalent probability transform principle and available to provide a new method for the reliability analysis of parallel system of which the service life of its components complies with the Weibull distribution.