In recent years, significant achievements have been made to alleviate poverty in China. However, many challenges still remain, especially in ethnic minority areas, where distressing circumstances remain and many contradictions persist which restrict development. In order to improve the efficiency of the measurement of anti-poverty measures and eradicate poverty, this paper was based on the multidimensional poverty measurement (Alkire and Foster). Combined with the characteristics of Guanghe county, suitable dimensions and indexes were chose to build a multidimensional model. The results show that the generally undeveloped situation of Chinese ethnic areas is caused mainly by low levels of education, poor housing condition, fewer capital assets, and narrow social relations. Therefore, to alleviate poverty, our strategy must enhance farmers per capita, net income, increase capital accumulation, improve the living environment and other measures to accelerate the process of poverty alleviation and development of the poverty-stricken ethnic minority areas and to build a well-off society in an all-round way in 2020.