Anti-racism group Kick it Out has said it will liaise with police after footage emerged of alleged West Ham supporters singing an anti-Semitic song following the game at Tottenham on Sunday.
The offensive chant was filmed on a train going through Stamford Hill, a north London suburb with a large Jewish population, following the 2-2 draw.
The person who filmed the chanting and originally posted the footage on Twitter deleted their profile on Wednesday morning.
Kick it Out released a short statement on Sunday night, which read: "Kick It Out has received several reports via social media about the footage and will be liaising with British Transport Police on the matter.
"In addition, we have been informed of a number of anti-Semitic tweets, which we are reporting to the police."
Press Association Sport reported that West Ham had emailed every supporter who bought a ticket to Sunday's game to remind them that they were acting as ambassadors for the club.
"If any individual is found to have behaved in an inappropriate way, the club's simple zero tolerance policy dictates that they will face the strongest possible action, including the option of a life ban from the Boleyn Ground," a club spokesman said.
"If anyone has any information on such behaviour, we would urge them to report it to the club, Kick It Out or the police so that it can be investigated thoroughly.
On Friday, West Ham joint-chairmen David Sullivan and David Gold had released a statement in which they said the club would not tolerance any fans displaying "any form of discriminatory behaviour."
A Spurs spokesman told PA Sport: "Anti-Semitism in any form is wholly unacceptable, and we support all efforts to kick it out of the game.
"We hope that those individuals responsible for this vile behaviour are identified and dealt with in the strongest way possible."
Speaking about Sunday's incident, Kick It Out chairman Lord Ouseley said: "Anti-Semitism must be tackled with the same vigour as all other forms of discrimination.
"There is a heightened level of concern within the Jewish community about anti-Semitism, with some feeling unable to live their everyday lives without fear of harassment, abuse and violence."
In 2012, two West Ham fans were cautioned, with one given a lifetime ban from the club, for racially-aggravated public order offences.