The news comes just 72 hours after the shock Macron Scottish Junior Cup Fifth Round defeat against Kello Rovers.
McGinty has helped the club become an established Premiership team during his two-and-a-half years in charge.
Meadow said in a statement: " We thank him for all his tremendous hard work and effort since joining in October 2017.
"We wish him all the best for the future. A full statement will be released soon."
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