Interim Swans boss Monk suggests the South Korea international punched and headbutted Wayne Routledge during his side's 3-0 win at the Liberty Stadium on Saturday.
That match also produced an incident where Cardiff's Craig Bellamy was suspended for violent conduct when clashing with Jonathan de Guzman, prompting ire from Bluebirds boss Ole Gunnar Solskjaer, who felt the Swans midfielder played it up.
Monk feels that Kim was as much in the wrong as Bellamy and urged Solskjaer not to point the finger at opposition players.
"I saw Ole answering a question that my man Jon de Guzman made a meal of it," said Monk.
"When you receive an elbow in the back of the head and you go down normally, I don't see how that's an over-reaction.
"I would have more concerns about the 35th minute corner for them when one of my players, Wayne Routledge, gets headbutted and punched in the face by Kim.
"If anything I would be more concerned about something like that than saying one of my players was play-acting.
"If you look at Wayne, when he gets headbutted and punched in the face, he stays on his feet. He doesn't make a meal of it.
"So I think Ole needs to look at his own players before he starts looking at mine."
For breaking stories and all the great banter like us on Facebook: facebook.com/tribalfootball