Voters in the Republic would choose to abolish Stormont as part of a United Ireland.
However voters north of the border would prefer to see the Assembly and the power-sharing institutions remain.
Voters in the republic are more supportive of an 'integrated United Ireland' with a single administration located in Dublin - while voters north of the border prefer a devolved system, with powers continuing over Health , Policing and Education.
The research was carried out for the Irish Times and ARINS, which is a joint project for the Royal Irish Academy and the University of Notre Dame.