The research was aimed at investigating micro finance procedures with murabaha contract and the feasibility of micro finance given by PT. BRI Syariah KCP Ahmad Dahlan Yogyakarta. This is a qualitative research with descriptive approach. The data of the research were gathered using documentations and interviews. The data sources used in this research were primary data and secondary data obtained from two costumers. The findings of the research shows that the micro finance prosedures were done in stages starting from application, financing analysis, decision making, financing disbursement, and cost monitoring. In analyzing the feasibility of microfinance with murabaha contract, BRI Syariah KCP Ahmad Dahlan Yogyakarta carries out 5C principles (character, capacity, collateral, and condition of economy). Based on the financing analysis, both the observed customers deserved financing. Both customers own good characters, have the capacity to refund the proposed finansing, have sufficient capital, have collateral that been able to cover the proposed financing and good business conditions.