Abstract: Concrete gravity dam projects are often featured with a huge scale, long construction period and technical complexity. The existing methods of multi-attribute decision making mostly focus on the whole construction process of such projects, but ignore variations in the indexes of the process and their weights in selection or analysis of these crucial parameters. The dynamic VIKOR extension method can well describe the construction process and obtain a comprehensive evaluation of construction schemes through quantifying and sorting the performance of each scheme at different stages of the construction under the constraints of acceptable advantages and stable decision-making plans. In this work, this method was applied to multi-attribute decision-making of concrete gravity dam construction schemes. Construction schemes were divided into different stages based on the results of their simulations and construction planning, and the values of their indexes were calculated separately for these stages. A comprehensive evaluation was made by integrating the calculations of different stages, so that an optimal scheme or compromise scheme can be obtained for concrete gravity dam construction, providing more reliable information for multi-attribute decision-making.