93% of people believe Ireland should stay in the EU.
New Red C research shows support for remaining a member has increased by 3% since last year.
Half of those surveyed believe a united Ireland has become more likely because of Brexit, while 58% think Ireland should be part of increased defence and security co-operation with the EU.
Only last year both the French President and German Chancellor said they backed the idea of an EU army.
Meanwhile, Theresa May held talks with the Labour party yesterday, defending her decision to hold talks with the oppositon.
She has insisted she's trying to find common ground, and a member of the opposition's top team warned the UK Government would have to move towards Labour's plan if it's to get a deal agreed by Parliament.