Green growth capability of resource-based cities is an effective way to demonstrate a nation’s green growth capacity. This study has constructed green growth evaluation model for resource-based cities: Social economic, resources and environmental, and quality of life systems form the basis of the model, while policy-support is identified as the interactive system. The empirical study was conducted based on data of 17 important resource-based cities during 2000-2013 using the Grey relation projection approach and triangular fuzzy entropy. The green growth indexes for the cities were then calculated. The results indicate that the combined triangular fuzzy entropy and Grey relation projection method is an effective approach to evaluate the green growth capability of resource-based cities; implementation of national policies is the major motivation for the resources city to realize green growth; the green growth capacity of the resource-based cities was constantly improved; the resource-based cities can be divided into four types, including upgraded by innovation, maturely development, rise steadily, and rise of consciousness, according to their green growth capacity.