Shelvey, 24, was charged with using abusive or insulting words towards Wolverhampton Wanderers' Moroccan midfielder Romain Saiss in a Championship match in September.
"It was further alleged that this breach was an 'Aggravated Breach' as it included reference to ethnic origin and/or race and/or nationality," the FA said.
Shelvey, who denied the charge at an independent hearing, was ordered to attend an FA education course.
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The England international, who has also played for Liverpool and Swansea City, has seven days to appeal against the decision.
Newcastle lead the second-tier standings by one point after 22 matches.
(Reporting by Ed Osmond; editing by Martyn Herman)
