Ethiopia is one of the developing countries in the horn of Africa with a total population of over 100 million. Population living in rural areas, mostly access to modern electricity is difficult. Also the degree of impact caused by power fluctuation varies from institution to institution. The one which mostly affected by this condition is the health care center. Muger Echini health care center is found around 82km away from Addis Ababa town at 8561ft above sea level having latitude of 9.68N and longitude 38.455 E. It has electricity from grid but there is a lot of power fluctuation on that specific area due to many reasons. The research is concerned with designing a Hybrid Solar PV and Bio-Mass Power Generation system. The study area has an average solar radiation of 5.63 kWh/m2. Monthly average biogas feedstock (i.e. cow dung), for the health care center is 1.05 tons/day. To produce 100.7KWh/day from Solar PV system 66 module is needed and Solar insulation at the site during the worst month at July is 3.63kWhm2/d was used for designing purpose. To produce 10 KVA electricity from Bio-mass system through the processes of anaerobic digestion mechanism, 43.54m3/day daily biogas yield and 20m3 digester is required. The homer software is used in modeling and cost estimation of each components of the hybrid system. Hence the designed peak power demand at installed capacity after 10 year is around 122.24 KW. The output power generation was seen that from homer software it has 60kw lead acid batteries, 10 kW convertor, 10 kW biomass generations, 10kw PV. The total NPC of 87448$(2 million ETB) is the least cost for site in this simulation. So that from Economic Point of view it little bit expansive but compare to other hybrid system this system is feasible and reliable.