The Football Association will contact Tottenham after a fan ran on to the pitch at White Hart Lane and aimed a punch at Chelsea's Frank Lampard.
Ugly scenes followed Chelsea's FA Cup victory at Tottenham
The incident, which the FA described as "totally unacceptable", occurred after Chelsea beat Spurs 2-1 in Monday's FA Cup quarter-final replay.
"I thought I might get one on me," said Lampard. "I just ducked."
Police have charged the Spurs fan for encroaching and on suspicion of assault and also charged a Chelsea fan too.
However, the FA confirmed there would be "no formal disciplinary action against any players" who were involved in restraining a pitch invader during the game.
Tottenham have confirmed they will co-operate with the FA and will ban for life the fan who aimed the punch at Lampard.
"We can confirm that two fans entered the field of play, one from each club," said a Spurs statement.
"The Tottenham fan is to receive an immediate lifetime ban from matches at White Hart Lane and will appear in court during the coming week.
"Details of the Chelsea supporter have been forwarded to Chelsea Football Club and we believe that they will be taking similar action."
An FA spokesman added: "These scenes were totally unacceptable and we will be contacting Spurs as a matter of priority.
"We want to establish what safety and security provisions were in place for the game and to confirm what action was taken against the fans who ran on to the pitch.
"We understand that both individuals were arrested and we would expect them to be given football banning orders."
PFA chief executive Gordon Taylor has called for greater vigilance in the next few weeks.
He said: "It's a time for police and stewards to take extra vigilance with CCTV at certain times, we don't want something serious to happen.
"It's a warning to all clubs in case there are copy-cat actions."
Chelsea boss Jose Mourinho was unhappy about the incident, which came as Chelsea celebrated their win on the pitch afterwards.
"Frank said the man went crazy, coming from nowhere," said Mourinho.
"Three, four or five people had to catch him before the security men came."
Tottenham boss Martin Jol added: "I have not seen it. I can understand the fans' frustration but they shouldn't do that."
Chelsea won the game following second-half goals from Andriy Shevchenko and Shaun Wright-Phillips.