Jean-Francois was cut by the Indianapolis Colts on Monday, after he completed two seasons of a four-year, $22 million contract. He set career highs last season with 34 tackles and 3.0 sacks.
Jean-Francois' deal with Washington is worth $9 million with $4 million guaranteed and a total value of $11.25 million, according to Rapoport.
The defensive tackle is a former seventh-round draft pick by the 49ers in 2009. He played 60.6 percent of the Colts defensive snaps in his starts last season.
- Molly Geary