The squad includes most of the players who have successfully qualified for the 2007 World Cup in the West Indies.
Wicket-keeper Niall O'Brien will be added to the squad if released by Kent.
Ireland, who have won one game and lost five in their inaugural season in county cricket's C&G Trophy, have been given full ODI status in the run-up to the World Cup.
England are the only Test nation Ireland have not played and the Belfast match is close to being a sell-out.
One-day internationals against fellow World Cup qualifiers Scotland and the Netherlands follow in August.
Squad: Trent Johnston (capt), Andre Botha, Jeremy Bray, Peter Gillespie, Dominick Joyce, David Langford-Smith, Kyle McCallan, John Mooney, Paul Mooney, Eoin Morgan, Kevin OBrien, Andrew White.