Corona virus is one of the major pathogens that primarily target the human respiratory system, which started in Wuhan, China in December 2019, has emerged as a global health and economic security threat with an overwhelming growing incidence worldwide. When the World Health Organization (WHO) declared the disease a global public health emergency, different stakeholders stepped up efforts to convince the world that the disease is a serious problem that needs strong containment measures. The main objective of the study is to identify the determinant risk factors for the recovery of corona virus(covid-19) patients. A study population of 389 corona virus(covid-19) patients who start their treatment in Debere Berhan Referral Hospital between August 2020 -November 2021 was included in the study. Descriptive statistics and Kaplan-Meier survival curves were used to estimate and compare the recovery time of corona virus(covid-19) patients among different categorical characteristics of the patients. We used classical and Bayesian accelerated failure time model to analyze the data. The result showed that of a total of 389 corona virus (covid-19) patients considered 87.7% recovered from covid-19. From the result age (TR=1.25, p-value=0.033), high fever (TR=1.309, p-value=0.07), Occupational status (TR=0.678, P-value=0.001), shortness of breath (TR=3.109, p-value=0.003), comorbidity (TR=1.117, p-value=0.037), severe headache (TR=1.146, p value=0.038) and place of residence (TR=0.259, p-value=0.021) were the significant factors for the corona virus(covid-19) patients accelerated failure time model. The accelerated failure time model showed that the major factors that affect the recovery time of corona-virus (covid-19) and see the associations factors among patients. The Weibull accelerated failure time model better fits the recovery time of corona virus(covid-19) than the exponential AFT model, log-logistic AFT model and log-normal AFT model. From the MC error accuracy, the model in Bayesian approach better than classical approach. Patient’s comorbidities have a major impact on CVID-19; So, health profession should close follow up is required for client admitted with comorbidity and create great awareness about the risk factors the corona virus (covid-19). Key words: corona virus(covid-19), proportional hazard, accelerated failure time, Bayesian survival analysis, winBUGS