Michael O'Leary congratulated Rachael Blackmore after the Tipperary jockey became the first woman to win the Grand National.
The 31-year-old partnered Minella Times to victory in the marathon contest at Aintree for Waterford trainer Henry de Bromhead.
Blackmore has rode a number of horses owned by O'Leary over the years and the Ryanair boss hailed her success on Saturday as a "phenomenal achievement".
In a statement to racing presenter Matt Chapman on Sunday, O'Leary said: "Yesterday was a great day for jump racing, for Rachael, Henry (de Bromhead), JP (McManus) and all their families.
"We identified Rachael early on as a very good jockey - not a female jockey - and we put her on all the Gigginstown Horses with Henry and Joseph (O'Brien).
"Her hard work and intelligence has done all the rest and it is a phenomenal achievement for her and all her family who supported her all the way.
"Henry should retire now because its never going to get any better. Like Alex the Great he has no more worlds to conquer."
Blackmore said on Monday that her historic win still hasn't sunk in.
She told Morning Ireland on RTE Radio 1: "I don't know if it will for a while. It's just incredible. It really, really is.
"Everyone grows up, every child with a pony grows up thinking about the Grand National. It's the first race that captured my imagination as a child. You dream about it. You dream about riding in the race and to actually go and win it takes it to a whole new level.
"It was just an incredible feeling. I don't know if my English vocabulary even has the words to describe it."
On what she was thinking during the race, Blackmore added: "I was hoping that Jett would come back to us and thankfully he did.
"When he was coming back on the turn in, my horse grabbed the bit again and was happy to go forward but it is a very long run-in from the back of the last in Aintree so you are trying to just save a bit and not fully commit until you get to the rail and the winning line is in sight.
"I was able to hear the commentator say, just as we came back onto the racecourse properly, that I was four lengths in front, I knew my horse was going to keep galloping to the line and you kind of start believing it then and it’s just absolute elation.
"It’s so massive. It’s such a special race.
"I finished 10th in it last year and I got a kick out of that. There’s no other race that you’ll finish placed in and get a buzz of it. The Grand National, that’s why it's so special because that happens."
