12 counties including Wicklow have recorded less than 10 cases for at least nine weeks in a row.
These new figures from the Central Statistics Office reflect on the spread of the virus in Ireland last week.
There were 103 cases of the disease - a decrease of 38 from the previous week.
The median age of new cases was just 35.
Clare and Offaly have recorded no new cases for five weeks in a row.
A dozen counties across the country have had less than 10 cases for at least nine successive weeks.
Waterford has had less than 10 cases for 12 consecutive weeks.
27 more men than women had died of the virus across the country, up to last Friday.
Two thirds of all people who've died have been over 80.
In a recent study, the health watchdog HIQA recorded 1,200 excess deaths between March and June compared with the official death toll of more than 1,700.
People who were infected with Covid-19, but died as a result of other reasons are included in the official figures.
Using data from RIP.ie, there were up to 1,200 more deaths between March and June than there usually would be for the time of year.
The Tanaiste has said the country recorded all deaths in every setting, and included people with terminal illnesses who died with Covid-19 - but not of it.
The CSO has also released data on death rates from Covid-19, which calculates a similar number of excess deaths.
It says it is possible there will be a lower death rate later in the year because of the high numbers of elderly people and those in nursing homes who died after testing positive for coronavirus.