The Labour leader addressed a huge crowd on Saturday afternoon (24 June) ahead of USA rap group Run The Jewels' performance.
"The council has taken a hard decision on the advice of fire safety experts, but the safety of residents must always come first".
Corbyn's speech put the case forward for a fairer, more equal society.
Chants of "Oh Jeremy Corbyn" to the tune of Seven Nation Army by the White Stripes were heard as the crowd - said by some Glastonbury regulars to be the biggest they'd ever seen - waited for his appearance.
Jeremy Corbyn told festival-goers that "peace is possible and must be achieved" as he appeared on stage at Glastonbury. Pointing to the wall around the festival site, Corbyn said: "there's a message on that wall for President Donald Trump, and do you know what it says?" The elites got it wrong. "That's what we've spent our lives campaigning for too". / Shake your chains to earth like dew / Which in sleep had fallen on you: "/ Ye are many-they are few!" he said.
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Britain's opposition Labour leader Jeremy Corbyn has overtaken Theresa May for the first time as voters' choice for who would make the best prime minister, a YouGov poll for The Times newspaper showed.
Corbyn was scheduled to appear at last year's event, but cancelled as it fell during the European Union referendum campaign. Despite calling the election with the aim of increasing the party's majority, the Conservatives lost even more MPs (and their parliamentary majority) while Labour made significant gains across the country.
He was led on stage by 81-year-old festival founder Michael Eavis.
Alastair Monty, 29, from London, said: "People are saying exciting things about when he's talking at events".
Run the Jewels are known for their leftwing lyrics that touch on many social issues in the US.
A number of other political figures have been spotted at the festival. The late and much loved MP Tony Benn, a friend and mentor to Corbyn, was a regular and popular speaker at Glastonbury.