Others could be heard chanting "off, off, off", while another audience member shouted: "Shut up Kanye, you're wasting your set when you could be singing a decent song."
For much of the rant West discussed the fact that he was sentenced to two years' probation following a fight with paparazzi photographer Daniel Ramos in 2013, saying that he had been made out to appear "crazy".
He said his reaction was like that of "a porcupine or a blowfish when they're angry".
Discussing his concern for fellow star Britney Spears and the treatment she received at the hands of press photographers, West said: "I don't care what you do in life, everybody needs a day off, everybody has the right to say, 'You know what, I need a minute to breathe'.
"I want to bring my family to the movies without 30 motherf*****s following me. Everybody here, they like sex right? Sex is great when you and your partner are like, 'Hey, this is what we both want to do'.
"But if one of those people don't want to do that, what is that called? That's called rape. That is called violation.
"So if I walk around and say look sir, I'm not feeling so good today, I need some space, can you please not fuck with me today? I need cut-off space, not violation."
The musician, who is married to reality TV star Kim Kardashian, also admitted the intrusion of the paparazzi has left him worried for his daughter North West's future.
"I want my daughter to have that opportunity to decide whether she wants to be famous or not. I think to myself, what the f*** am I going to do, how can I change it and how can I give my daughter her childhood?"
West said that he would "stop every paparazzi one by one" if he wasn't on probation, adding: "One week I told a paparazzi, 'Stop talking to me - I might be thinking of something like a new stage show, a new design. You want to shove a camera in my face, you just f***** up my whole trail of thought."
West wore a beaded silver mask over his face for the majority of his performance, and after his rant played a number of hits from his 2013 album Yeezus to an increasingly appreciative 40,000-strong audience in north London's Finsbury Park.
His main stage set was preceded by Hackney four-piece Rudimental, Azealia Banks and Labrinth on the second of three days at the festival.
- Independent