The Football Association commission also fined Wenger £25,000 after finding him guilty of improper conduct after being sent off by referee Jon Moss and also made “physical contact” with fourth official Taylor in the tunnel.
Arsenal are not intending to appeal the decision. Wenger had requested a personal hearing which took place at Wembley.
An FA statement declared: “Arsene Wenger has been given a four-match touchline ban with immediate effect after he was charged for misconduct following Arsenal’s game against Burnley on Sunday 22 January 2017.
“It was alleged that in or around the 92nd minute, he used abusive and/or insulting words towards the fourth official.
“It was further alleged that following his dismissal from the technical area, his behaviour in remaining in the tunnel area and making physical contact with the fourth official amounted to improper conduct.