Ireland will use the matches, to be played on May 6 and 8 at Clontarf in Dublin, as key markers in their World Cup preparations.
"It's great news for both the team and supporters," Ireland coach Phil Simmons said.
"We'll be gearing our preparation towards the 2015 World Cup, and this series is ideal."
Ireland tour the West Indies next month, for two Twenty20s and an ODI, before the World Twenty20 in Bangladesh.
The Sri Lankan fixtures further underline the associate nation's growing status, although they are yet to beat a full-member nation in the 50-over format in Dublin.
After tieing with Pakistan last year - before narrowly losing the second game - England then edged to victory in the first game at the new venue in Malahide to end the summer.
"We'll be looking to take our cricket to the next level in 2014 by winning from these type of situations, pressing home our advantage when we're on top," Simmons said.
"It's a fantastic opportunity for our squad to face players of the calibre of Kumar Sangakkara, Angelo Matthews, Tillakaratne Dilshan and of course Lasith Malinga.
"They're going to be tough opposition but Irish conditions in May will be to our advantage."
- Sports & Recreation