The Health Minister says inspections will be carried out at businesses next week, and those not following social distancing rules could be closed down.
There's concern building sites in particular are struggling to keep workers 2 metres apart.
The country's top health officials are meeting this morning to discuss Ireland's response to the Covid 19 pandemic.
The number of deaths linked to the virus now stands at 19, and there are over 1,800 confirmed cases.
Health Minister Simon Harris says every business needs to stick to the guidelines.
"The Health and Safety authority are going to start in the coming days visiting businesses and making sure people are complying with physical distancing.
"I have emergency legislation that was passed by the Oireachtas last week, we're going to have more emergency legislation passed by the Oireachtas probably today - if it requires me using enforcement procedures here to close down premises that aren't respecting physical distancing I certainly won't be found wanting in that regard."
