The Department of Health has reported 396 additional cases of Covid-19 and no further deaths.
The death toll in Ireland remains at 1,792.
Of the new cases today, 241 are in Dublin.
172 are men and 224 are women, and 70% of them are under the age of 45.
36 of today's cases are in Cork, 19 in Donegal, 12 in Galway, 11 each in Meath and Kildare, and nine in Monaghan.
Seven cases were reported in Louth, six in Clare, six each in Offaly and Waterford, five in Wicklow, and the remaining 27 cases are spread across 11 counties.
Acting Chief Medical Officer Dr Ronan Glynn said: "The cases we are reporting today were seeded in the last week.
"This virus spreads from person to person. We now have a collective task across the country to break the chains of transmission and stop this virus from spreading further.
"Plan to see half the number of people this week that you saw last week. When you do meet, do so safely keep your distance, wear a face covering if appropriate and wash your hands.
"Every individual action we take to interrupt the transmission of this disease keeps ourselves and our families safe," he added.
In a series of tweets this evening, Dr Glynn said that there has "very understandably been a particular focus on Dublin" in recent days.
There is one additional ask this Sunday evening for everyone (regardless of where you live) - try to meet half as many people this week as you did last week. Thank you #holdfirm #COVID19
— Dr Ronan Glynn (@ronan_glynn) September 20, 2020
"However, most other counties are also seeing increasing numbers of cases of #COVID19. Three in particular are already high and continuing to rise fast," he said, referring to Louth, Donegal and Waterford.
Louth has a 14-day incidence of 102/100,000, compared to 53/100,000 last Sunday. There has been 131 cases there in the last fortnight.
Donegal has a 14-day incidence of 84/100,000, compared to 26/100,000 last Sunday, with 133 cases there in the last fortnight.
While Waterford has a 14-day incidence of 89/100,000, up from 55/100,000 last Sunday.
Earlier, it was reported that this weekend, 60% of new cases of Covid-19 in the country are in Dublin.
Meanwhile, Dublin is on its second day of elevated restrictions, aimed at reducing the spread of the virus.
Yesterday, the Health Protection Surveillance Centre reported 274 new coronavirus cases.
There have been a further 176 new confirmed cases of Covid-19 in Northern Ireland in the last 24-hour reporting period, according to the Department of Health.
It brings the total number of cases in the north to 9,341, including 977 in the last seven days. No further deaths were recorded. There are 21 Covid-19 patients in hospital there, with four in ICU.