US President Donald Trump stormed out of the deal past year, calling it "terrible", and has reimposed sweeping US sanctions aimed at strangling Iran's economy and curbing its regional power.
On Feb 11, 1979 Iran's army declared its neutrality, paving the way for the fall of US-backed Shah Mohammad Reza Pahlavi.
Pictures on social media showed some people also demonstrating against corruption, unemployment and high prices.
Bolton's remarks came the same day as Israeli Prime Minister Benjamin Netanyahu warned Iran that "if this regime makes the awful mistake and tries to destroy Tel Aviv or Haifa, it won't be successful, and it will be the last anniversary of their revolution they will ever celebrate".More news: Takeaways From the Alliance of American Football's (AAF) Opening Weekend
"Without people, we are nothing and with this people we are everything". Reuters could not independently verify the pictures.
Prices of basic foodstuffs have soared since Trump withdrew Washington from world powers' 2015 nuclear deal with Iran previous year and reimposed sanctions on Teheran.
Israeli Prime Minister Benjamin Netanyahu gives a statement during his visit to a navy base in Haifa, Israel, February 12, 2019.More news: 'Frustrating': George Clooney slams treatment of Meghan Markle
"However, this would be the last anniversary of the revolution that they celebrate".
Referring to the launch of INSTEX by E3, he says, "We do not have much detail about this mechanism now, because this is a matter for these European countries and should be announced by them, but anyway, we hope that economic relations between Tehran and Canberra will continue".
Washington and the Arab world have viewed Iran with great suspicion since the Islamic Revolution, fearing Khomeini's radical ideology would inspire militants across the Middle East.
Israel is trying to counter the influence carved out in Syria by Iran, which has supported Syrian President Bashar al-Assad in the war that erupted in 2011.More news: Cardi B beats the boys to win rap album honours at Grammys