Two men, aged 22 and 24, were arrested on Thursday in London and in Wiltshire, while a 48-year-old man was arrested at his home in Canning Town in London last week on suspicion of inciting racial hatred.
The investigation following the match on Oct. 6 was triggered by complaints about tweets that referred to Hitler and the gas chambers.
Traditionally Spurs has had a large Jewish following and its supporters have been the target of abuse from opposition fans.
Supporters of the club often chant "Yid Army" and "Yiddo" at matches, using a term deemed offensive by some in the Jewish community, but fan groups say the term is used as a badge of honour rather than a derogatory remark.
However, the governing Football Association and police have warned that using the word "Yid" could lead to prosecution and a ban on attending matches.
All three men have been bailed until January while the police make further enquiries.
In a separate investigation also dealing with anti-Semitic tweets relating to the same match, a 55-year-old man from Hemel Hempstead north of London was arrested and cautioned on Nov. 28 for malicious communications, police said.