The march culminated at Azadi Square, where President Rouhani addressed the crowd.
Chants of "Death to Israel" and "Death to Britain" followed, and demonstrators burned USA and Israeli flags.
Iranian people gather during a ceremony to mark the 40th anniversary of the Islamic Revolution in Tehran, Iran February 11, 2019.
In this February 11, 2016 file photograph, an Iranian woman holds the national flag during a rally commemorating the 37th anniversary of the Islamic revolution, in Tehran, Iran.
In Washington, US National Security adviser John Bolton, who in 2017 expressed the hope that Iran's "revolution will not reach its 40th birthday", tweeted that after 40 years, the "Islamic Republic of Iran has failed to fulfil its promises to uphold and safeguard the rights of its citizens".
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The regime also declared a mass amnesty, with a fifth of prisoners set to leave the country's overcrowded prison system.
Prices of food, especially meat, have risen a lot since U.S. President Donald Trump withdrew the United States from the 2015 nuclear agreement with Iran.
There's also a huge display of domestically-developed military equipment, including drones, missiles, bombs, and weapons.
Iranians march towards Azadi Square during Monday's rally. "Iranian people have and will have some economic difficulties but we will overcome the problems by helping each other", he said.
In Tehran, 27-year-old medical student Hossein Hosseinpour, walked with his wife and their 18-month son Amir Ali.
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Current supreme leader Ayatollah Ali Khamenei is set to publish "a detailed statement explaining the "second step" of the progress of the Islamic revolution", his official website said. "I see a bright future for him and our nation", Hosseinpour said. "My mother, despite her illness, asked me to bring her out", he said.
"Much to the dismay of America, the revolution has reached its 40th year", read one banner.
"At the revolution's 40 anniversary we are on top of scientific achievements like nanotechnology or accurate missiles", he said.
"I'm impressed by everything I've seen here, of course you cannot show everything, but these missiles you see behind - these missiles can go very far, against any enemy, including Iran's proxies in our region", Netanyahu said on a visit to the naval base in Haifa.
Journalist Mikey Kay recalled in this vein that Bolton has spoken at least eight times at rallies organised by MEK (Mojahedin-e Khalq), an Iranian dissident group which calls for regime change in Iran and is known to pay up to $50,000 per speech.
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She followed that up with "One Kiss", a collaboration with hitmaker Calvin Harris that also reached the top spot in the U.K. In February 2018, Lipa won two Brit Awards for British Female Solo Artist and British Breakthrough Act.
"Hundred years ago, a large part of Iran was separated".