The 31-year-old was found guilty of using racist language towards Queens Park Rangers defender Anton Ferdinand in a West London derby almost a year ago following a four-day hearing by an independent panel at Wembley Stadium.
The former England captain was acquitted of a racially-aggravated public order offence by Westminster Magistrates' Court in July.
A statement was released, which said: "Mr. Terry is disappointed that the FA Regulatory Commission has reached a different conclusion to the clear not guilty verdict of a court of law.
"He has asked for the detailed written reasons of the decision and will consider them carefully before deciding whether to lodge an appeal."
Meanwhile, Chelsea have also released a statement, saying: "Chelsea Football Club notes and respects today's decision by the Football Association regarding John Terry.
"We also recognise that John has the right to appeal that decision. It is therefore inappropriate for us to comment further on the matter at this time."
Terry, who retired from international football last weekend, was also fined £220,000.