The measures do not include special education facilities.
Contact tracing is being stopped in primary schools and childcare facilities from Monday.
It means testing of asymptomtic close contacts will be discontinued.
Our Political Correspondent Seán Defoe reports:
"From Monday testing of asymptomatic close contacts and automatic contact tracing will be stopped in primary schools and childcare settings.
The measures do not include special education facilities.
Children under 13 and deemed close contacts in childcare settings, will not have to restrict their movements unless adviced to do so by Public Health.
Public health advice remains that any child aged 13yrs or under who displays Covid symptoms should quickly self-isolate and not attend school, until 48 hours after they're symptom free.
Health Minister Stephen Donnelly said data suggesting schools are low risk environments for the spread of Covid-19 fed into today's decision.
However, the Irish National Teachers' Organisation has called for a deferral of the changes to contact tracing until reliable information is available to them. "