At the age of fifteen Carberry was apprenticed to trainer Jimmy Lenehan and rode his first winner on Ben Beoch in 1958.
He then moved to the yard of National Hunt trainer Dan Moore, where he remained as stable jockey for the rest of his career.
[1] Carberry won the 1970 and 1971 Cheltenham Gold Cup on L'Escargot, trained by Moore and owned by Raymond Guest, former American ambassador to Ireland.
[1] Carberry won a total of sixteen races at the Cheltenham Festival, his final victory coming in 1982 on The Brockshee, in the Arkle Challenge Trophy.
He also rode on the flat, winning the Irish Champion Stakes on Fordham for trainer Vincent O'Brien in 1979.