The eighth-year NFL player was released in March by the Cowboys. He broke his right forearm in the second game last season and missed the next three. In his first game back, he broke it again.
The first-round draft choice from Oklahoma will be reunited with Mike Zimmer, the Bengals defensive coordinator and former Cowboy defensive coordinator.
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The Cincinnati Enquirer reports the deal is for one-year worth seven figures.
The report said the Bengals did discuss a multi-year deal with Williams, but he was more comfortable with one year,.
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