King signed with the Falcons on Monday, Terrin Waack of the team's official site reports.
King sat out the 2022 season for personal reasons and then missed 2023 due to a torn Achilles that he sustained during an offseason workout. The 2017 second-rounder will look to secure a role in the Falcons' secondary after recording 29 tackles and a pick in 10 regular-season outings (six of which were starts) for the Packers in 2021.