Terry chose not to appeal against his four-match ban for racially abusing QPR's Anton Ferdinand - but the club are keeping their sanction secret.
Chelsea said in a statement they have taken further steps against their captain.
"Chelsea also appreciates, and supports, John's full apology for the language he used. The club firmly believes such language is not acceptable and fell below the standards expected of John as a Chelsea player.
"The board has conducted its own investigation into the matter, and considered the various issues involved. The board has taken further disciplinary action in addition to the four-match suspension and £220,000 fine imposed by the FA. In accordance with our long-standing policy, that disciplinary action will remain confidential."