Leinster's second-row Jack Dunne will join Exeter's Premiership side this summer, as will centre Rory O'Loughlin.
Dunne, 23 years old, is an ex-Ireland Under-20s player. He joins Jonny Hill from England and Sam Skinner from Scotland at the end.
After nearly a year of being out with a knee injury, the forward from England is back in good health.
O'Loughlin is 28 years old and has played more than 100 games for Leinster. He also scored 21 tries in his debut year in 2016.
He was awarded his only Ireland cap in the match against Japan in June 2017. He also helped Leinster win four Pro14 titles, and the 2018 Heineken Champions Cup.
Exeter has not revealed the length of their contracts for either player.
“People will notice that we have lost a few of our players for next year, so we've looked into the market and moved very quickly to bring Jack and Rory aboard,” Rob Baxter from Exeter was quoted as saying on the club website.
“Jack, I was impressed by his clips as soon as he appeared on my screen. He is a big man, but he can move. He's young, at the right age, and I loved everything I saw in his clips.
“Personally, I see an upward performance curve from him. It's a win-win situation for both the players and the coaches.
“Rory is slightly more. He is an older gentleman, but has lots of experience from his time at Leinster right up to winning the Heineken Cup.
“This is the type we are looking for in our backline. He is a person who can communicate clearly, can talk a lot, and can also see the big picture.