The suspension, announced Monday, is Jovanovski's second of the season. He was also penalized two games on Dec. 9.
Jovanovski hit Tavares with 17 seconds left in the first period of the Coyotes' 5-4 shootout loss on Saturday night, and was assessed a major for elbowing and a game misconduct.
He will miss Phoenix's games against San Jose on Tuesday night and New Jersey on Thursday night. He will be eligible to return against Minnesota on Saturday night.