Terry has decided not to appeal against a four-match ban and fine of £220,000 for racially abusing QPR defender Anton Ferdinand.
He had until 6pm on Thursday evening to contest the sanction issued by an independent Football Association regulatory commission.
In a statement released via his representatives Elite Management, Terry said: "After careful consideration, I have decided not to appeal against the FA judgment.
"I want to take this opportunity to apologise to everyone for the language I used in the game against Queens Park Rangers last October.
"Although I'm disappointed with the FA judgment, I accept that the language I used, regardless of the context, is not acceptable on the football field or indeed in any walk of life."