By using the grey relational analysis method, the paper selects indicator system that is in line with the evaluation of the cultural poverty alleviation capability of poverty-stricken areas in China and makes empirical evaluation of the cultural poverty alleviation capability of poverty-stricken areas in China from 2011 to 2015 by building evaluation model through analytic hierarchy process(AHP). The author thinks that measures should be taken to ensure continuous investment, precisely allocate resources, create favorable atmospheres and innovate service ways, so as to enhance the cultural pov...