Stokes and the Parkhead club were informed by Norris he was to be mentioned in his report at the time, which in effect was a red card.
The suspension is specific to the Scottish Cup which means the Irishman will miss Celtic's first tie in next season's tournament.
An SFA spokesman told Press Association Sport: "A report has been submitted and the player has been notified of an A5 offence."
Norris' report is almost certain to land Celtic manager
The Parkhead boss marched onto the pitch to confront the referee after Hearts substitute
Lennon, who has three disciplinary cases pending, two of which will be heard by the SFA's judiciary panel at Hampden on Thursday, was further enraged when Norris refused Celtic a penalty in injury-time when the ball appeared to come off the arm of Hearts defender
Afterwards Parkhead coach
Scottish FA Cup
William Hill has extended its sponsorship of the Scottish Cup for a further two years.