The Taoiseach claims a border poll would be easily defeated and would be 'divisive'.
There have been widespread calls for Leo Varadkar to set up a citizens assembly to discuss the prospect of a united Ireland.
It follows the recent general election results in the North, which saw Unionists lose their majority for the first time.
But the Taoiseach claims there still isn't enough support for a border poll to succeed.
'For the first time since the foundation of Northern Ireland, Unionist parties don't have a majority anymore, but also, parties that support a united Ireland don't have a majority either. That's why I don't think a border poll is a good idea; it would be defeated and it would be divisive and I don't see who would gain from that sort of scenario'.
The Taoiseach also says that 'divisions' must be healed in Northern Ireland before a united Ireland is considered.
He says the immediate focus should be on restoring power-sharing after a three-year deadlock at Stormont.
'What we need to do now is commit ourselves to the Good Friday Agreement and power-sharing in Northern Ireland. Let's try and heal some divisions and differences that exist in Northern Ireland and among us all. And when we have the institutions up and running properly, well then I think there's a time to have a look at the institutional and constitutional arrangements'
