Moffat was accused of placing seven bets on six matches involving Ayr, and an additional 150 bets on other fixtures.
The SFA served the 29-year-old with a notice of complaint on December 17, with the compliance officer referencing two breaches of disciplinary rule 33.
There is no suggestion Moffat has been involved in match-fixing or influencing results.
"This afternoon Michael Moffat's tribunal with the SFA Judicial Panel was held at Hampden Park," read a statement on Ayr's official website.
"Michael was found guilty of the two charges and sanctioned with no fine and to serve a six-match suspension with immediate effect."
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