For the collected big data about the structure during the period of structure. Firstly, the big data would be sorted and analyzed, then the big data would be classified according to the characteristics of every data. Secondly, the interval reliability calculation model and random reliability calculation model under the structural big data condition are established by using the stress-strength interference theory. The interval reliability index was computed by using interval reliability calculation model under every type of the big data, the random reliability was computed by using the the random reliability calculation model under every type of the big data. The smallest reliability index would be known as the structural interval reliability index, the smallest reliability would be known as the structural random reliability. Finally, the strong points and weak points of the interval reliability computing method and the probabilistic reliability computing method are shown by using two examples.