Nine more people have died from Covid-19 in Ireland, bringing the overall death toll to 1,691.
There have also been nine new confirmed cases of the virus. This brings the total number of cases in the country to 25,215.
The percentage of tests proving positive for Covid-19 has reduced to 1% in the past week, compared with 1.7% in the previous week.
Meanwhile, figures from the Health Service Executive show that the number of confirmed cases of Covid-19 in Irish hospitals has fallen in the past 24 hours.
Today, there were 110 confirmed cases in hospitals, with 35 patients in intensive care.
Chief Medical Officer Dr Tony Holohan said we need to work hard to avoid complacency in the fight against Covid-19.
He said: "While today we report nine new cases and the situation continues to improve in both Ireland and across Europe, the World Health Organization has noted that now is not the time to 'take the foot off the pedal' and that countries need to continue to work hard to avoid complacency and promote solidarity."
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It is just over 100 days since the first case of coronavirus was reported here and the country has now moved into the second phase of the easing of Covid-19 restrictions.
Research conducted by the Department of Health showed that 62% of adults here now believe the worst of the pandemic is over.
However, the department has warned that people must stick to public health guidelines to further limit the spread of the virus.
The average number of close contacts per each confirmed case of Covid-19 is now four.
Close contact transmission now accounts for 59% of infections.
In the last week, there were also 16 clusters of infection notified in private houses.
The Department of Health has advised anyone who feel they might have symptoms, a list that now includes loss of smell or taste, to isolate and contact their GP without delay.
The latest data from the Health Protection Surveillance Centre shows that 40% of those who have died from Covid-19 had chronic heart disease as an underlying condition.
The data also shows that over 30% of those who died had a chronic neurological disease, 17% had a chronic respiratory disease, 14% had a cancer/malignancy and 14% had diabetes.
The data is based on an analysis of 1,331 deaths and cover the period up to 3 June.
Separately, the HPSC report says that of more than 18,200 cases of the virus examined, just over half of people had at least one underlying medical condition, the most common being chronic heart disease.
Almost 4% had three or more underlying medical conditions.
Around 80% of cases of Covid-19 will be a mild to moderate illness, close to 14% have severe disease and around 6% are critical.
Generally, you need to be 15 minutes or more in the vicinity of an infected person and within two metres of them, to be considered at-risk, or a close contact.
Further reporting Sinead Crowley, Fergal Bowers
