Budd was born on 23 February 1786, one of sixteen children of William Budd of Pewsey, Wiltshire. At 16 he was appointed to a clerkship in the War Office and lived in London — convenient for the cricket at Dorset Square that he had begun to play. The match of 13-16 September 1802, an odds fixture between two large parish sides, was his entry into Lord's cricket. He scored 9 in the first innings and 5 in the second, modest figures but enough to mark him as a young prospect. He joined the MCC shortly afterwards and would remain a member until 1825, after which he was kept on the list as an honorary member. Budd's playing career was unusual in its longevity: 73 known first-class matches, 2,728 first-class runs, last appearance in 1831 at the age of 45. He was a powerful straight-driving right-handed batsman, a useful underarm fast bowler, and famously strong (he could throw the ball over 100 yards). His career was disrupted by the Napoleonic War, especially the 1811-15 seasons when major cricket almost stopped, but for years contemporaries placed him alongside Beauclerk as the leading amateur cricketer of the era.