The aim of the article is to review the features of the management of the vaccination process during the Covid-19 pandemic, and the importance of the health care systems in different countries. This is one of the most relevant research topics in recent years in the context of the Covid-19 pandemic, and the number of scientific publications is increasing daily with geometric progression. The authors of the article analysed and summarised over 160 scientific publications. A detailed analysis of the development, clinical research, approval and registration procedures, reliability, safety and efficacy of the Covid-19 vaccine presented in the articles is presented. In this context, it was particularly important for the authors to present the doubts about the advantages of vaccination, and the reasons for refusing vaccination, evaluating the public information context. The role of the health care system is presented in the disclosure of the organisation of the vaccination process in the country, especially in the identification of priority groups of vaccinees, and in the monitoring of vaccinated people. The results of the research analysed in the articles suggest that all registered Covid-19 vaccines are sufficiently reliable, safe and effective, and timely public information is of great importance for vaccination coverage. The central role of the health care system in organising and managing the vaccination process has proven its worth. The vaccination process is managed and controlled in the country.