The aim of this article is to draw attention to the Police efforts during the state of epidemic announced on 25 March 2020 connected to the COVID-19 virus. These efforts are being made on the basis of particular laws in force during this state, but also on the basis of the rules in the penal code. The execution of specific tasks involves effectiveness, which ensures proper cooperation of many bodies, including the cooperation of the epidemiological services with the Police and units of medical rescue. It is important, however, to obey the rule of proportionality in applying certain measures of power in the institutions involved in the execution of prohibitions and obligations of specific behaviour during the state of epidemic. The measures of power cannot also lead to disruptions of the principle of law-abidingness.