The 26-year-old forward will attend a hearing to find out his punishment, while Accrington Stanley managing director Robert Heys was also charged for a similar offense.
The 26-year-old has accepted the charges and will attend a hearing in front of the Independent Regulatory Commission, the date of which has yet to be determined.
An FA statement said: "The FA has charged Stoke City's Cameron Jerome with breaches of its rules in relation to a number of betting offenses.
"Jerome has admitted the charges. A date for an Independent Regulatory Commission to hear the case will be set in due course."
Stoke confirmed that Jerome, who joined the Potters in 2011 from Birmingham City, has accepted the charges and said it will support the striker at his hearing.
"Cameron has admitted the charges and will in due course attend an Independent Regulatory Commission, at which he will be supported by the club," said a statement on the Stoke's official website.
Accrington Stanley managing director Robert Heys was also charged with breaching FA rules in relation to a number of betting offenses, though has yet to respond to the charges.