Hills's notable wins at the Royal Ascot meeting included back-to-back Gold Cups with Gildoran in 1984 and 1985, while Sure Blade - one of his three winners of the Coventry Stakes - took the St James's Palace Stakes in 1986, and Equiano the King's Stand Stakes in 2010 under son Michael.
John Gosden was amongst his peers in the training ranks and said Hills was a fine example to all.
He said: "Barry set a great example to everyone in racing from his early days in Newmarket to South Bank Stables in Lambourn and then on to Faringdon Place. His meticulous presentation of his horses and of himself set the standard."
Now a Group 1 and Classic-winning trainer, Ralph Beckett recalled his experiences as a teenager riding out for Hills and labelled him a 'hero' for a whole generation of British racing folk.
He said: "I was 15 when Barry let me ride out during term time at Manton.'Let' is the right adjective because I was certainly no addition and I'll always be grateful to him for that.
"He once told me not to start training too young. I was 28 when Peter Walwyn retired and on reaching 30 I realised exactly what he meant and I have often repeated the advice.
"As a trainer and a man he was an example and a hero to all of my generation."