Ugly scenes at full-time of the home loss to Ipswich last time out saw Rayan Ait-Nouri was shown a second yellow card and Cunha was involved in a confrontation with Ipswich staff.
A statement on Tuesday read: "Matheus Cunha has been charged with misconduct following the Premier League match between Wolverhampton Wanderers and Ipswich Town on Saturday, 14 December.
Wolves: Is Matheus Cunha banned vs Leicester City after FA charge?
Cunha was seen confronting members of Ipswich's security team after his side had fallen to a last-gasp loss at Molineux.
Wolves forward Matheus Cunha is expected to play against Leicester today.