"We are disgusted by the contents of the video," West Ham said in a statement.
"These people are not welcome at our club - they are not welcome in civilised society.
"We are taking immediate action to try to identify the offenders, whose details we will be handing over to the police and will be banned for life from London Stadium and from travelling with the club.
"There is no place for this kind of behaviour at our club."
Earlier on Saturday football’s global governing body FIFA issued a statement in response to recent incidents in the game.
FIFA urged national football federations and leagues to adopt their own tough rules on dealing with racism, including allowing referees to stop or abandon matches.
“This is really not acceptable. Racism has no place in football, just as it has no place in society either,” said FIFA president Gianni Infantino.
Saturday's incident came two days after a group of Chelsea supporters were filmed singing an Islamophobic chant about Liverpool's Mohamed Salah before their Europa League match against Slavia Prague.
Arsenal also launched an investigation after Napoli defender Kalidou Koulibaly was racially abused by a supporter during their Europa League match on Thursday.
(Reporting by Pritha Sarkar, editing by Peter Rutherford)
