The National Public Health Emergency Team has announced 36 more cases of Covid-19, which is the highest number of new cases in the country since mid-June.
The total number of confirmed cases of Covid-19 in the Republic now stands at 25,802.
There have been no deaths reported to the Health Protection Surveillance Centre today meaning the total number of Covid-19 related deaths in Ireland remains at 1,753.
As of midnight yesterday, 574,487 tests have been carried out.
Over the past week, 51,128 tests were carried out, with 139 tests showing positive results, giving a positivity rate of 0.27%.
Acting Chief Medical Officer Dr Ronan Glynn said: "Together, we have achieved so much in our ongoing effort to limit the spread of Covid-19 in our communities, making it possible to take steps to reopen society and the economy.
"Today I am asking everyone to stay the course on the public health measures needed to suppress Covid-19, such as covering coughs, hand washing, use of face coverings and two-metre social distancing, which are essential for continuing the momentum towards the reopening of our schools and the resumption of our healthcare services."
In Northern Ireland, two more people have tested positive for Covid-19, the Department of Health said. The tally of total infections now stands at 5,859.
No new deaths were reported in the region so the official death toll remains at 556. It is the eighth day that there have been no coronavirus deaths recorded.
There are currently seven Covid-19 patients being treated in hospitals in Northern Ireland, with two in intensive care units.
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Meanwhile, Tánaiste Leo Varadkar has questioned whether a 'green list' of countries should be published at all, if the advice against all non-essential foreign travel remains in place.
There are differing views ahead of a Cabinet discussion on the issue this evening, with one Cabinet source saying that a "substantial discussion" is needed before a decision can be made.
The National Public Health Emergency Team advice remains against all non-essential foreign travel, regardless of whether a country is on the proposed green list or not.
A spokesperson for Mr Varadkar said he believes it is wrong to send out mixed messages about international travel.
His comments come as European Union leaders reached a "historic" deal on a massive stimulus plan for their coronavirus-hit economies at a pre-dawn meeting after a summit that lasted almost five days.
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The €750bn deal was sealed after intense negotiation that saw a threats of a French walkout and a Hungarian veto and fierce opposition from the Netherlands and Austria to too generous a package.
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Committee told healthcare workers 'catapulted' into pandemic
INMO General Secretary Phil Ní Sheaghdha told the Special Committee on Covid-19 Response that it is time for the Health and Safety Authority to be involved to examine the high infection rate among healthcare workers.
She said we must ensure that healthcare workers have the same status as every other worker in the country and if they go to work and become ill, they should have the right to have that examined by the HSA.
Ms Ní Sheaghdha said the regulation that prevents the HSA from doing that must be changed.
The World Health Organization says that data to date suggests that 80% of Covid-19 infections are mild or asymptomatic, 15% are severe infection requiring oxygen and 5% are critical, requiring ventilation.
