The unveiling ceremony was concurrent with the International Quds Day rallies, which are held annually on the last Friday of the holy fasting month of Ramadan.
"Death to the House of Saud and Daesh", demonstrators chanted, using another name for the Islamic State.
Rouhani told reporters that the rally was Iran's response to the USA violations of the "rights of people" of Iran after the Senate last week approved new sanctions on Tehran over its missile program, something Congress is expected to decide on soon. The Guard said it fired six such missiles on Sunday at IS targets in the city of Deir el-Zour, more than 600 kilometres (370 miles) away.
That day, Defense Minister Hossein Dehghan said a world without violence "is a world free from the Zionist regime" and called Israel the "root cause of all problems, violences and insecurities in the Muslim world and the entire world".
The rally also inaugurated a large digital countdown display at Tehran Palestine Square, showing that Israel will allegedly cease to exist in 8,411 days.
"The message of Quds Day is that of hatred towards the occupying and usurping regime (Israel) as well as support for the oppressed nation of Palestine", Rouhani declared in remarks reported by the Tehran regime's English-language mouthpiece, Press TV.
The struggle against the Zionist regime of Israel, remarked the maximum spiritual and political leader of the Persian nation, is also 'the fight against arrogance and imperialism, and that is why U.S. politicians consider it a hostile action.' Majlis (parliament) President Ali Larijani recalled that the great powers have long sought to discourage Muslim peoples and governments from backing the Palestinian issue by exhausting them and telling them that the cause has failed after decades.
The display included surface-to-surface missiles "Zolfaghar" (with 2000 km range), "Qadr" (with 700 km range).
In 2015, Iran's Supreme Leader Ayatollah Ali Khamenei predicted that after 25 years - by 2040 - there will no longer be a State of Israel.
They warned that Rouhani faced the same fate as Abolhassan Bani-Sadr, Iran's first elected president after the 1979 Islamic revolution, who was impeached by parliament in 1981, less than two years later. President Hassan Rouhani also joined the march through the capital.