The Acting Chief Medical Officer Dr. Ronan Glynn says that some people are socialising 'recklessly' and that 'cannot continue'.
It comes after a viral video at a bar in Dublin city centre appeared to show people ignoring public health advice.
The National Public Health Emergency Team will meet later to discuss what further measures are needed to control the spread of Covid-19.
A further spike in cases was recorded over the weekend, 200 on Saturday, and 66 yesterday.
21 more cases were recorded in Kildare yesterday on top of the 81 seen there on Saturday, with a warning that there has been secondary spread from several clusters.