That is according to a new EM Ireland/Red C poll, which also found people split over whether Brexit makes a united Ireland more likely.
The majority of Irish people believe Brexit is a mistake - but 44% agree and 44% disagree that it makes a united Ireland more likely, with 12% saying they don't know.
But for the first time support for Ireland remaining in the EU has jumped to over 90%.
The annual survey of Irish attitudes to the EU also indicates growing support for Irish involvement in increased EU defence and security cooperation.
Only 11% of respondents think that Ireland should leave the EU, given the UK have voted to leave.
This shows a steep decline from 2013, when support for Ireland leaving the EU in the event of Brexit was at 30%.
On the issue of defence and neutrality, 59% agree Ireland should be part of increased EU defence and security cooperation. »