Trained by Aidan O'Brien and the son of Sadler's Wells, Galileo sired 91 individual Group One winners, including the legendary Frankel, before his death at 23 in 2021.
Galileo's offspirng also includes Rip Van Winkle, Nathaniel, Arc hero Waldgeist, dual Derby winner Australia and six-times Group One-winning mare Magical.
His sons and daughter have combined to win all the British Classics at least once, with his five Derby winners, all trained by O'Brien, being New Approach, Australia, Ruler Of The World, Anthony Van Dyck and Serpentine.
Galileo becomes only the second horse to be inducted into the Hall of Fame via public poll after securing a narrow victory over Sea The Stars and Shergar - a special Derby shortlist to celebrate the Queen's Platinum Jubilee.
He is the seventh horse overall to be inducted into the Hall of Fame after Frankel, Brigadier Gerard, Nijinsky, Mill Reef, Dayjur and Dancing Brave. Dayjur is the only other horse to also have been chosen for entry via a public vote.
Susan Magnier, Galileo's co-owner during his racing career, said: "We were thrilled to hear that Galileo has been inducted into Qipco British Champions Series Hall of Fame. He was a very special horse to everyone here at Coolmore and Ballydoyle and hopefully his legacy will continue for many years to come.
"Given the special year of Her Majesty's Platinum Jubilee, we were delighted that the panel focused on Derby winners for the shortlist and that the public vote saw Galileo chosen."