Nearly 60% of people think that Ireland should play a more significant role in EU defence and security cooperation.
The vast majority of people also favour remaining a part of the Union and more than half say that Brexit has improved their opinion of the EU.
The survey, conducted among 1,000 adults by Red C on behalf of pro-EU lobby group European Movement Ireland, showed that positive sentiment toward the EU is growing in recent years.
Some 93% of respondents think that Ireland should remain a member of the EU, with those aged 18-24 showing the strongest sentiment, while 96% of this age group want to remain in comparison to 89% of the 55-64 age bracket.
The remain sentiment has increased in recent years, too. In 2013, 81% said they wanted to remain.
Ireland should contribute more to the EU budget to reap the full benefits of membership, according to 58%, while the same number also said that they believe that Ireland should be part of increased EU security and defence cooperation.
Almost nine-out-of-10 said that the euro currency has been positive for Ireland, and 58% said that their opinion of the EU has improved in the wake of Brexit.