The 52-year-old, who had already admitted a misconduct charge prior to Tuesday's personal FA hearing, will be banned from stadiums for the first three matches and he will be barred from the touchline for the remaining four.
Pardew was also fined 60,000 pounds by the FA and warned about his future conduct.
Following the incident on March 1, when he pushed his forehead into Meyler on the touchline following a melee, Newcastle fined Pardew 100,000 pounds.
"As I have made clear, I deeply regret the incident and again wholeheartedly apologise to all parties for my conduct, which I understand was not acceptable," Pardew said in a statement on Newcastle's website on Tuesday.
"I will accept the punishment handed down by the FA today. My focus now turns to preparing the team for this weekend's game against Fulham and finishing the season as strongly as possible."
Newcastle are eighth in the Premier League standings with 10 matches left this season.
Image: Alan Pardew
Photograph: Nigel Roddis/Reuters
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