The death toll reached 7,111 after 355 more fatalities were reported in the past 24 hours, the release said.
Myanmar has also seen a surge in infections since June and on Sunday the reported 355 deaths is a new record, while daily cases topped 6,000 on Thursday last week.
Medics and people working in the funeral industry there say the actual death toll is far higher, with turmoil since February's military coup hindering the pandemic response.
According to the ministry's figures, a total of 185,402 patients have been discharged from hospitals and over 3.07 million samples have been tested for COVID-19 so far.
Meanwhile, the ministry on Sunday imposed a stay-at-home order, which will be effective on Monday, in seven more townships - one in Nay Pyi Taw Union Territory and three each in Magway region and Shan state due to the Covid-19 outbreak.
So far, the ministry has imposed the stay-at-home order in 93 townships across the country.
Myanmar detected its first two cases of Covid-19 on March 23 last year.