Considering the extreme uncertainty of natural disasters, an optimal conservative distribution network restoration strategy based on information decision was proposed. Firstly, information gap decision-making theory was applied to topological uncertainty, and the outage state of distribution lines after natural disasters was regarded as an uncertain parameter. Furthermore, a robust function was introduced to determine the risk aversion area and the total damage length of distribution line interruption. Then, the linear optimization model was used to realize the optimal topology reconstruction method to ensure the expected level of load after the destructive natural disaster. A new conservative selection algorithm was proposed to adjust the input of the model. The experimental results show that the optimal distributed generation resource allocation, topology reconfiguration and line reinforcement scheme can significantly improve the reliability and resilience of the distribution network.