Jones arrives in Minnesota after four seasons with the Green Bay Packers, who selected the UCLA product with the 26 overall pick of the 2013 NFL Draft.
House left the Packers for a four-year deal with the Jaguars but was released by Jacksonville after two years. According to the NFL Network, the Packers will pay House $3.5 million on a one-year deal.
Per Pro Football Focus, House's coverage grade last season was 43.6 and he didn't have enough snaps to qualify for a positional ranking.
House hauled in four interceptions his first season with the Jaguars but struggled to get on the field a year ago. He played in 15 games last season, starting four times, and had one sack.
While the Packers lost a fixture at running back on Tuesday, they are set to fill a spot in the secondary with a familiar face. He said it was a tough decision to make but getting the chance to return home to Green Bay won out.
The Green Bay Packers re-signed linebacker Jayrone Elliot on Monday.
Jones started seven games in his career with the Packers, recording nine sacks.
In Week 16, Jones started at left outside linebacker but also played on the defensive line and on special teams.
Lacy is coming off down seasons in 2015 and 2016.