In order to study the evaluation of engineering equipment support capability of position construction and find out the gap between the requirement of equipment support capability of undertaking construction task. Based on the construction of index system, the evaluation model of equipment support capability based on belief rule base is established to solve the aggregation and evidence reasoning problems of fuzzy uncertainty, probability uncertainty and non-linear characteristics layer index. Aiming at the problem of increasing combination index with the increase of underlying indexes, a reasoning model of belief rule base based on union hypothesis is proposed. The result shows that the evaluation model of engineering equipment support capability based on belief rule base can well integrate multi-attribute bottom indicators, reduce the scale of belief rule base, reduce the complexity of evaluation process, and reduce the information attenuation problem of bottom indicators in the process of layer-by-layer aggregation.