A number of individuals have encroached the playing field in recent matches.
Two individuals invaded the pitch during Thursday’s Carabao Cup game against Liverpool and third was restricted by stewards after the game.
An official statement from the Gunners reads: "In recent matches at Emirates Stadium, there have been a number of people who have entered the pitch either during, or after the match has finished.
"We strongly remind everyone it is a criminal offence under the Football (Offences) Act 1991 to enter the pitch without prior permission.
“During Thursday night’s match against Liverpool, we sadly witnessed a number of individuals run onto the pitch.
"This not only disrupts the match, but also has to be managed as a serious security risk to all players, officials and everyone in the stadium.
“All the individuals who encroached onto the pitch on Thursday night were caught by our stewards and subsequently identified.
“These individuals, and others who have encroached onto the pitch recently, have now received a three-year ban from Emirates Stadium.
"They have also had their memberships from our club terminated and their details have been passed onto the Police for further investigation.
“If anyone is thinking of doing this please refrain, as all football clubs and the Police are taking this matter extremely seriously.
“All perpetrators of public order offences, which includes pitch encroaching and other recent incidents of throwing objects and use of pyrotechnics, will receive lengthy stadium bans and further possible legal sanctions.”