Tompkins will line-up at outside centre with George North moving to the wing for the clash in Dublin.
North will line-up in an experienced back-three alongside Josh Adams and Leigh Halfpenny whilst Tompkins will partner Hadleigh Parkes in the midfield. Tomos Williams and Dan Biggar continue their partnership at half-back.
Wales have named an unchanged pack with Wyn Jones, Ken Owens and Dillon Lewis in the front-row and Jake Ball lining up alongside captain Alun Wyn Jones.
Aaron Wainwright, Justin Tipuric and Taulupe Faletau feature in the back-row.
VIDEO: Watch the second episode of Gwlad Gwlad, behind the scenes in the Wales camp, here.
“We’ve made just one change after a winning start last weekend,” said Wales head coach Wayne Pivac.
“Nick comes into the side, I thought he played exceptionally well when he came on last week so he deserves the start. George, who played really well last weekend at centre, moves back out to the wing.
“On the bench we have a few players back available. Rhys Carre impressed at the RWC and he comes back in. Adam Beard comes in for Cory Hill who picked up a leg injury earlier this week, Gareth (Davies) is fully fit and Owen Williams comes onto the bench and gives us a bit more cover.
“Momentum is important in the Championship. It was nice to get a good winning start under our belts and hopefully we can build on that through the tournament.”
On the bench Rhys Carre joins Ryan Elias and Leon Brown as the front-row replacements with Adam Beard and Ross Moriarty completing the forward contingent. Gareth Davies, Owen Williams and Johnny McNicholl provide the back-line cover.
WALES TEAM TO PLAY IRELAND (Saturday February 8 KO 14.15 ITV & S4C)
15. Leigh Halfpenny (86 Caps)
14. George North (92 Caps)
13. Nick Tompkins (1 Cap)
12. Hadleigh Parkes (26 Caps)
11. Josh Adams (22 Caps)
10. Dan Biggar (80 Caps)
9. Tomos Williams (17 Caps)
1. Wyn Jones (23 Caps)
2. Ken Owens (74 Caps)
3. Dillon Lewis (23 Caps)
4. Jake Ball (43 Caps)
5. Alun Wyn Jones (C) (135 Caps)
6. Aaron Wainwright (19 Caps)
7. Justin Tipuric (73 Caps)
8. Taulupe Faletau (73 Caps)
Replacements:
16. Ryan Elias (10 Caps)
17. Rhys Carre (6 Caps)
18. Leon Brown (7 Caps)
19. Adam Beard (20 Caps)
20. Ross Moriarty (42 Caps)
21. Gareth Davies (51 Caps)
22. Owen Williams (3 Caps)
23. Johnny McNicholl (1 Cap)