In the last seven days, the rate of those testing positive has declined from 8.9 to 5.8 percent.
The head of the HSE, Paul Reid, says a drop in the positivity rate of people with Covid-19 gives hope for the future.
It's seen as an important measure as it indicates how widespread infection is in the community.
It comes as 7 more people with the virus have died and there has been 777 new cases - 41 of those in Cork
Professor Rachel McLoughlin from Trinity College Dublin says the Level 5 restrictions can work
