Financial terms weren't immediately available.
Pouha was set to become an unrestricted free agent with his three-year, $6.8 million contract expiring.
Pouha, 33, registered 58 tackles last season with one sack, a forced fumble and two fumble recoveries.
The 6-foot-3, 325-pound anchor is a former third-round draft pick from Utah.
For his career, Pouha has recorded 234 tackles, 3 1/2 sacks and one safety.
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