He went into the family arts, and for a time supported his brother Joseph in medal-work.
From 1884 till his death he carried on in London the business of the Wyon firm of medallists and engravers founded by his grandfather, Thomas Wyon the elder.
He was a fellow of the Society of Antiquaries of London (elected 1889) and of the Numismatic Society of London (elected 1885), and was at one time treasurer and vice-president of the British Archæological Association.
The great seal of Queen Victoria of 1899 was not his, but the work of George William de Saulles.
Wyon also compiled and published The Great Seals of England (1887, with 55 plates), a work begun by his brother Alfred.