Since the first covid-19 case has been confirmed in Iraq on the 22nd of February 2020, this pandemic led to a markable impact on the Iraqi health system and life in general. The vaccination against COVID-19 is considered to be a highly effective strategy in reducing severe illness and mortality due to COVID-19 and hopefully reduce the risk of future waves of COVID-19. To assess the prevalence of vaccination against COVID-19 among families of medical students in Al-Nahrain medical college, some socio-demographic characteristics and the impact of these characteristics on the vaccination acceptance and the most preferred vaccine manufacture. A cross-sectional study enrolled 375 adults (aged 18 years and above except pregnant women) who were families of randomly selected medical students for the period (from May to July 2021). Each were directly interviewed. Data were entered and analyzed using SPSS version 24. The prevalence of vaccination was 62.4% with a higher rate among people with a high educational level (p=0.001). Binary logistic regression for vaccine manufacture showed that 24.3% will be more likely to accept vaccination when it is of Pfizer manufacture (p=0.001). Low prevalence rate of vaccination in Iraq mandates urgent governmental actions to enhance people's acceptance to get vaccinated. Pfizer vaccine should be more available.