Shawn Taggart and Jeff Robinson were arrested outside a Beale Street nightclub early Sunday and both charged with misdemeanor counts of disorderly conduct and inciting a riot, the Memphis Commercial Appeal reported.
By Sunday afternoon, Calipari had called a news conference to announce a curfew and a no-nightclub policy for his team.
He said that discipline for the two arrested players would be determined after a police and school investigation.
"Until we get all the information, the only thing I can tell you is, it's going to be a firm hand," Calipari said. "I'm not happy. I know they're going to screw up. They're young kids, and they're going to do dumb things, like my own children. But how many times have I said, nothing good happens in a club after midnight? We'll deal with this; a lot of it will be in-house. Some of it's not going to be."