Avon and Somerset Police said the man voluntarily attended an interview with officers on Monday.
During the band’s set on the West Holts stage, the crowd was encouraged to chant “death, death to the IDF [Israel Defence Forces]”.
The force added: “The matter has been recorded as a public order incident while we continue to investigate and consider all relevant legislation.”
Police said they received legal advice about the October investigation from the crown prosecution service.
The force said voluntary interviews “are often used in investigations where an individual agrees to attend and an arrest is not considered necessary”.
It added: “Those present are interviewed with care and have the same legal rights as anyone arrested.”
After their appearance at Glastonbury, Bob Vylan dropped out of several festivals and shows including the radar festival, a German music show after their visas were rejected.
The group has also recently postponed two UK gigs, including a show in Manchester, following calls by Jewish leaders and MPs for it to be cancelled.
Despite the criticism, the band has also seen support from fans, with their album humming as the day repeats itself on the summer charts.
In September, the BBC’s complaints unit ordered a broadcast of the band’s set breached editorial guidelines related to defamation and transgression.
The controversy was one of several high-profile scandals the BBC faced over the summer, but Director General Tim Davie remained in post despite being called out.
However, Davie resigned on Sunday Following the publication of a damning memo that raised concerns about some editorial decisions within the corporation, including the way President Trump’s speech was edited.