Before sentencing, Finch, 56, apologized to the teenagers, saying he had little memory of the activities because of alcohol. He also told a judge he was embarrassed, disgusted and ashamed.
Police said Finch was arrested in March after a boy reported having sexual contact with him at his Newark, Ohio, home.
Finch later admitted having sexual contact with other teenage boys ranging in age from 13 to 17.
The Associated Press contributed to this report.