The ministry reported 317 deaths over the past 24 hours and 9,846 new infections.
The number of new COVID-19 cases has been growing for several weeks and the government has tightened lockdown restrictions.
Last week, the daily tally of infections jumped to almost 12,000, the highest number since April.
Ukraine, with a population of 41 million, has recorded around 2.47 million COVID-19 cases and 57,205 deaths. Only 5.82 million people have been fully vaccinated, according to health ministry figures.