Poverty has always been a concern in Indonesia. More than half of Indonesia''s 235 million people are poor. The district of Kulon Progo is the second lowest district in Yogyakarta province both in economic growth and welfare level, so less developed among four others district. Regression model is developed with classical normal linier regression model to reveal each variable share on rural poverty. Simultaneously, this linear regression model explains 70% of rural poverty caused by all variables. Numbers of farmer positively affects numbers of poor rural inhabitants. Irrigated land has a negative impact to rural poverty. Numbers of household member is not significant to influence poor rural inhabitants. In contrary of common belief, the significant role of land ownership has a positive impact to influence rural poverty, where the 1% increasing size of land ownership will raise 0.177% poor rural inhabitants. Regression model results land ownership positively affects rural poverty.