A stay on work at the site is in place after a High Court action
The Taoiseach says it is a matter for Dublin City Council to sort out the issue of Moore Street.
Enda Kenny says it has been "bandied about for years" and has "dragged on since 1922".
The High Court has granted a stay on redevelopment work on the site after an occupy protest in the buildings that were central to the 1916 Rising.
The Taoiseach says the Government bought the three most important properties in the area and will not be buying more, suggesting "I don't think the authority in Washington bought the entire terrace where President Lincoln was assassinated":
Meanwhile, Sinn Féin has said a 1916 quarter of Dublin would be good for the country historically and economically.
The party wants the construction work on Moore Street to be cancelled.
The buildings of 14 to 17 Moore Street were the last meeting place and headquarters of the provisional government, which was set up during 1916.
The buildings are widely reported to be the site of the final surrender of the 1916 rebels.
The 1916 Relatives Committee and Sinn Féin organised a 'Save Moore Street' rally at Leinster House.
Bartle D'Arcy, 1916 coordinator for Sinn Féin, explained the historical significance of Moore Street.
If you're wondering what's so special about Moore Street anyway, Bartle D'Arcy does a good job explaining pic.twitter.com/rolKkoKZrO— Sean Defoe (@SeanDefoe) January 13, 2016
Sinn Féin deputy leader Mary Lou McDonald says Taoiseach Enda Kenny and ministers need to listen to protesters.
Mary Lou McDonald says Taoiseach & Ministers need to listen to protesters and preserve Moore St pic.twitter.com/rJGFd6kt2w— Sean Defoe (@SeanDefoe) January 13, 2016