Kuo was an All-Star in 2010 with the Dodgers but struggled last season with a back problem early in the season and missed a month with anxiety disorder. During his standout 2010 season, Kuo as 3-2 with 12 saves in 13 chances and a 1.20 ERA.
Camp led Toronto with 67 appearances last year and was 6-3 with a 4.21 ERA. The right-hander has appeared in 432 games all in relief, with Kansas City, Tampa Bay and Toronto.
Both deals contain performance bonuses.
To clear roster space, Seattle designated outfielder Mike Wilson and catcher Chris Gimenez for assignment on Monday.