The study was conducted to compare medical solid waste, characterization and its management of medical solid waste in private and public hospital in Bahir Dar city, Ethiopia. The city has six-sub city and nine hospitals, it selected four hospitals two from private and two from publics by using simple systematic random sampling methods. The study was conducted from February 17- March 1, 2021. Types and composition of medical solid waste was measured by digital balance and it analyzed using Excel and spss software version 26. By using one-way anova the comparison of the waste between private and public hospitals were mean difference was significant at p value < 0.05 at a confident intervals 95%. The most important data collection instruments were measure generation rate of waste, interviews, observations and review of documents. The study measured that the average medical waste generation rate in private 29 kg per day and 97.38 kg per day whereas in publics 94.98 kg per day and 242.36 kg per day. The average waste generated kg per bed per day in private 1.52, 2.90kg/bed/day and in public 2.05, 0.72 kg/bed/day. The average medical solid waste generated in kg per patient per day in private 0.41, 0.38kg and in public 0.20, 0.27kg/patient/day. The value of the waste composition in private, general and infectious wastes were 57% and 27% respectively in publics 48% and 34%. The waste characterization food waste, test tub, paper and carton the highest were as syringes and mask the lowest generation rate in both private and public health car. Regarding the actions taken to manage the medical solid waste, disposed through incineration in private and onsite open damped in public. Awareness on medical waste was very low in public hospitals. Currently the public Hospitals especially in one of public hospital was less implementing any of the waste management options of waste materials due to the administrative, informative, complexity, economical challenges that make the management implementation. Keywords:Medical wastes; Disposal; Generation rates; Incineration; Waste management