Lansbury was shown a straight red card at Villa Park for a foul on Boro forward Marvin Johnson.
The 26-year-old now faces a three-match ban, which would see him ruled out of games against Barnsley, then Boro in the Carabao Cup, and finally former side Nottingham Forest, unless it is overturned on appeal.
Villa said in a statement on their official website: “Aston Villa can confirm that it will be appealing against the red card shown to Henri Lansbury during Tuesday’s fixture against Middlesbrough on the grounds of wrongful dismissal.”
Lansbury lunged at Johnson from behind and referee James Linington decided it was a red card offence.
In his post-match press conference, Villa boss Steve Bruce downplayed Lansbury’s actions, saying: “I thought the decision on Lansbury was a yellow card as we had three players behind the ball and in my opinion I didn’t think it was a red card.”
In the same match, Middlesbrough’s Adama Traore was sent off in the fourth minute, with the game ending goalless.