Williams is averaging 2.5 points in 30 games this year.
The Nets also were without star guard Devin Harris, who sprained his left shoulder Sunday night against the Los Angeles Clippers.
Coach Lawrence Frank said Harris will be re-evaluated Tuesday.
At about 2 p.m. Monday, officers responded to a disturbance at a cell phone store at the Park Meadows Mall, Detective Sgt. Ron Pinson of the Lone Tree police said.
"The investigation indicated that Sean Williams had been involved in a verbal altercation with the clerk at the store," Pinson said in a release. "He then picked up a computer monitor and threw it inside the store. The monitor was broken and also caused damage to a printer and signature pad."
Damages were estimated at $1,200 to $1,300, he said.
Pinson said Williams was arrested on suspicion of disorderly conduct and felony criminal mischief. He was taken into custody without any further incident and transported to the Douglas County Jail, where he posted bond. Pinson didn't know the amount of Williams' bond.
"The Nets have been made aware of a police incident this afternoon involving Nets center Sean Williams," Vandeweghe said in the statement. "We are currently looking into the details surrounding the incident, and since it is an ongoing police investigation, we will have no further comment."
It wasn't clear if Williams would accompany the team's flight home.
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