Police confirmed that two West Ham supporters were formally cautioned by officers after making "racially-aggravated gestures" during yesterday's match.
The pair of fans were arrested during the game and accepted the police cautions, Scotland Yard said.
One of those was a Hammers season ticket holder who has since been banned.
Tottenham Hotspur have confirmed that five supporters were arrested during Sunday's match at White Hart Lane outside of the stadium for unrelated incidents and two more were cautioned for racially aggravated gesturing inside the ground.
One of those fans has since been identified as a season ticket holder and has, this afternoon, been sent a letter containing a banning order from the club.
Any other individuals identified can expect a similar swift and robust response.
The FA can confirm it has begun investigating reports of abusive chanting at the Tottenham Hotspur FC versus West Ham United FC fixture on 25 November 2011.
The FA Governance Department has this morning contacted both clubs and will continue to make enquiries into the matter in the coming days.
We note the statement issued by West Ham United FC and encourage Clubs to identify and ban for life any individuals involved in incidents of abusive chanting.
There is no place for anti-Semitism or any form of discrimination in football.
The Board of Deputies of British Jews said it was "dismayed" by reports of anti-Semitic chanting by West Ham fans.
It said in a statement:
The Board of Deputies of British Jews utterly condemns and is dismayed by reports of antisemitic chanting by West Ham United fans at yesterday’s match against Tottenham Hotspur.
Antisemitism has no place in football or society in general. For football fans to use Holocaust imagery and chants glorifying Adolf Hitler is grossly offensive to the Jewish community and is a stain upon the character of British football.
This in the same week that Tottenham fans were attacked in Rome in an apparently antisemitic attack.
Events at White Hart Lane yesterday and comments on Saturday by the Scunthorpe United manager describing his team’s defending as being “as bad as the Holocaust” confirm that this phenomenon is not confined to the Continent.
The board said they would be making a complaint to the FA:
We will be writing to the Football Association to urge them to punish those responsible for these chants and to take further steps to rid our national game of these slurs.
West Ham United said the club will take the "strongest possible action" against any supporters found guilty of inappropriate chanting during the Barclays Premier League match away to Tottenham yesterday, including the enforcement of life bans.
A statement said:
West Ham United are in contact with Tottenham Hotspur to assist them with their investigation into the conduct of a small number of supporters and alleged inappropriate chanting during yesterday's match at White Hart Lane.
West Ham United will take the strongest possible action against any of their supporters, including enforcing life bans from the club, that are found guilty of behaviour which is categorically not condoned by West Ham United.
During the 46 games in the Championship last season, West Ham United had zero arrests for racism or violence, so while we are surprised to see such reports today, we will examine any available evidence of such conduct thoroughly and take the appropriate action.
West Ham could face a FA investigation after Spurs fans were allegedly subjected to anti-Semitic abuse during their match on Sunday.Read the full story ›
UEFA have announced that they have opened proceedings against Lazio for "improper conduct of the club's supporters" during their Europa League match against Tottenham.
Aaron Lennon, Jermain Defoe and Andros Townsend all appeared to be the subject of monkey chants from the away end during Spurs' 0-0 draw against the Italian side.
A statement read: "UEFA has opened disciplinary proceedings against S.S. Lazio for the improper conduct of the club's supporters (racist behaviour) during the UEFA Europa League group stage match on Thursday 20 September between Tottenham Hotspur FC and the Italian side."
Harry Redknapp believes he would have been sacked by Tottenham Hotspur even if the club had qualified for the Champions League, he told BBC Radio Five Live.
Harry Redknapp told ITV News: "(The) club went in a different direction to the manager - what can you do about it - it's the owner's decision.
"The fans have been amazing, it's always disappointing to leave a club, (but you) don't spend much time worrying about it. The England job had nothing to do with it.
"They own the club and they can do what they want, all you can do is leave the club in a better shape than when you found it. I will miss players and fans but I am not one to sit around, I did a great job there and made loads of friends".
Just woke up to news Harry Redknapp is no longer Spurs manager???? Wow!! I Thought he was doing a great job there....