Miles Leaburn joined Charlton's academy at U16 level, following a spell at Chelsea.

The forward signed his maiden professional contract with the club in July 2022 after starring for the Addicks' title-winning U18 side across the 2021/22 Professional Development League 2 - South campaign.

Leaburn bagged his first senior goals during Charlton's 6-1 victory at Dartford in pre-season before scoring at Colchester United in another pre-season friendly just three days later.

The academy graduate made his professional debut in the Addicks’ opening fixture of the 2022/23 campaign at Accrington Stanley, scoring just 23 minutes after his introduction. In doing so, the youngster became the third second-generation Addick to represent Charlton’s first team, following in the footsteps of his father Carl who made 344 appearances for the club between 1987 and 1998.

In October 2024, the club triggered the one-year extension clause in Leaburn's contract.