The 27-year-old now faces a penalty but not a ban, subject to appeal, after admitting "a number of breaches" of the governing body's regulations at a personal hearing on Tuesday
Following an Independent Regulatory Commission hearing the Potters' striker has been issued with the penalty, subject to appeal.
A statement published on the FA's website on Wednesday reads: "Jerome, who was also severely warned as to his future conduct, admitted a number of breaches of the FA's Betting Rules and requested a personal hearing which took place on Tuesday 13 August 2013."
The 27-year-old - who moved to the Britannia Stadium from Birmingham City in August 2011 - was initially charged by the governing body on August 5.
His club also released a statement following the FA's decision, in which they noted that they wish to "make clear that Jerome has not incurred a ban or suspension".
The former Cardiff City man has scored 12 goals in 66 games since signing for Stoke.