Smith signed with Washington on Tuesday, ESPN's Adam Schefter reports.
Washington needs depth at tight end after Derek Carrier suffered a season-ending knee injury during Sunday's game against the Browns. Smith is an experienced blocking specialist, but he only has 163 receptions in 121 career games.
The Saints have released journeyman tight end Alex Smith, a source has told the New Orleans Times-Picayune.
Smith who signed with the Saints last week, has just three catches over the last two seasons.
The Bengals placed tight end Alex Smith (biceps) on injured reserve, released tight end Ryan Otten and signed offensive lineman Emmett Cleary to the practice squad.
Bengals tight end Alex Smith suffered a biceps injury in the first half Week 2 vs. Atlanta and was ruled out for the rest of the game. He did not receive a target in the game.
Smith, who has been getting more playing time with Tyler Eifert sidelined by an elbow injury, didn't have a catch Week 1 at Baltimore either.
The Bengals on Tuesday re-signed tight end Alex Smith , who had become an unrestricted free agent when his 2013 Cincinnati contract expired.
Smith is a 10th-year NFL player in 2014, in his second season with Cincinnati. He joined the Bengals as an unrestricted free agent from Cleveland for 2013 and played in every regular season game, with two starts. He caught 13 passes for 47 yards.
"Alex played significant snaps for us last year, and it’s good to get him back in the fold," said Bengals coach Marvin Lewis. "He’s ready to go physically, and it's mini-camp week, so he jumps right back in there for us."
Smith has 119 NFL games played, with 57 starts. He has 160 receptions for 1,461 yards and 12 touchdowns. He is expected to be No. 3 on the depth chart behind Tyler Eifert and Jermaine Gresham.
The Bengals signed defensive tackle Ogemdi Nwagbuo, a fourth-year Michigan State product who's played in 36 NFL games. Cincinnati also placed defensive tackle Devon Still (back) and tight end Alex Smith (wrist) on the reserve/injured list.
The Bengals have listed six players as probable for their Week 17 battle against Baltimore, including defensive end Carlos Dunlap (illness), linebacker James Harrison (concussion) and cornerback Dre Kirkpatrick (ankle).
The others are linebacker Vincent Rey (ankle), tackle Andre Smith (ankle) and tight end Alex Smith (concussion).
Bengals tight end Alex Smith hauled in his second pass of the season in Week 11 against the Browns, and he made this one count in a 41-20 win.
Smith brought in a 2-yard touchdown in the fourth quarter on his only target of the game. He enters the team's bye in Week 12 with two receptions for 5 yards in 11 games. The Bengals' next game is set for Week 13 against the Chargers.
Bengals tight end Alex Smith had one catch for three yards in Sunday's 20-17 overtime loss to the Ravens. Smith was targeted two times.
The Bengals face the Browns in Week 11.
Bengals defensive back Adam Jones (abdomen), defensive back Jeromy Miles (hamstring), defensive lineman Wallace Gilberry (knee), wide receiver Marvin Jones (foot) and tight end Alex Smith (illness), who were listed on Friday's injury report, are active for Week 3 against the Packers.
The Bengals enter Week 3 against the Packers with 11 players listed on the official injury report, five of whom are from the offensive side of the ball. While offensive lineman Mike Pollak has already been ruled out, the remaining four could still take the field Sunday.
Running back Giovani Bernard (hamstring), wide receiver Marvin Jones (foot) and tight end Alex Smith (illness) are probable, while offensive lineman Anthony Collins (knee) is questionable.
The agent for tight end Alex Smith posted on Twitter that his client has signed with the Bengals. He played for the Browns over the last three seasons, collecting 28 catches.