Charles was arrested late Monday in Madison County, Ky., and booked into the jail. He was not listed among the jail's inmates Tuesday morning.
Investigators have not released any details about what led to the arrest.
In Kentucky, first degree wanton endangerment is defined as wantonly engaging in conduct that creates a substantial danger of death or serious physical injury to another. The conduct must also take place under circumstances that display extreme indifference to the value of human life.
Bengals spokesman Jack Brennan declined comment, saying: "It's not appropriate for us to comment on legal matters that are not resolved."
Charlesis a third-year pro from University of Georgia, and a native of Tampa, Fla. The 23-year-old has played in the Bengals backfield, catching one pass for 8 yards last season, but was mainly used on special teams. He appeared in 13 games last season and 16 in his first.
The Bengals list him as 6-3, 245 pounds.
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