The TV coverage will be presented by Tom McGurk with regular pundits George Hook and Brent Pope providing match analysis and Ryle Nugent on commentary duty.
RTE Radio will also broadcast live coverage of both Tests. The radio broadcast on May 26, which will be on RTE Radio 1 LW and MW, will begin at 8pm with Michael Corcoran and former Irish international Donal Lenihan providing commentary.
RTE's Group Head of Sport Glen Killane said: "RTE are continuously striving to deliver the best sporting action to fans throughout the country.
"Following RTE's RBS 6 Nations Championship coverage this year, which attracted the biggest ever audiences for the tournament on Irish television, we are delighted to be able to give viewers another opportunity to see their national team in action."