Adams signs for Northampton
Adams was made available for transfer by the Shakers last week and the Cobblers have moved quickly to snap up the 28-year-old.
Adams, who began his career with Bury before going on to play for several other clubs then returning to Gigg Lane, has put pen to paper on a three-year contract at Sixfields.
His second spell with the Shakers saw him a regular in the side as Bury won promotion from League Two this season.