Boyce singled out Suarez following his dive in the 0-0 draw with Stoke City at the weekend, with the 68-year-old suggesting simulation was becoming a "cancer" of the game.
The former Ajax man also faced criticism from Stoke boss Tony Pulis following the incident, prompting club manager Brendan Rodgers to defend his player, but it is Suarez's national bosses who have been forced into action by Boyce's comments.
|URUGUAY FA'S LETTER IN FULL
|"These comments made by this person are inadmissible and unacceptable for the AUF."
A statement from the Uruguayan FA reads: "The Uruguayan Football Association (AUF) has come to know the comments made by Fifa vice president, Mr. Jim Boyce, to the English newspaper The Sun.
"Those comments refer to the Uruguayan football player, Mr Luis Suarez, and they classify his conduct as 'cheating behaviour' and the situation caused by it as a 'cancer' to football.
"We understand this kind of comments, coming from a person who holds a Fifa vice president position, making specific reference to a football player and linking his behaviour to an affection that represents a calamity to mankind, are in the antipodes of what the principles that should guide us in world football are supposed to be.
"These comments made by this person are inadmissible and unacceptable for the AUF."
Suarez is currently on national duty with Uruguay, who travel to Argentina on Saturday to take on Lionel Messi & Co. in a 2014 World Cup qualifier.