The Department of Education (DE) has issued the advice to all schools.
In advice to schools the Met Office had warned of "very dangerous conditions" and "widespread disruption".
Education Minister Paul Givan said: "A red weather warning has been issued for Storm Éowyn and the Education Authority has advised that all schools should close tomorrow.
"I understand this will impact on the work of schools and indeed on other businesses and services, but the decision has been taken to avoid any potential risk to life for children and young people as well as staff," he said.
"Schools should put plans in place today for remote learning so that pupils can study at home," he added.
The last time all schools in Northern Ireland were advised to close due to weather was due to Hurricane Ophelia in 2017.
Universities and Further Education Colleges will issue their own advice.
Queen's University Belfast have said it will close on Friday.