The S-300 system has been on order since 2007 but Russia postponed the sale three years later after the UN Security Council passed a resolution relating to Iran's nuclear programme.
A deal between Iran and six world powers over its nuclear activities which lifted sanctions in January removed the barriers to delivery but the fully operational system is still awaited.
According to pictures published by the semi-official ISNA news agency, S-300 missile tubes and the radar equipment were shown during the military parade held in southern Tehran.
Israel and the US have hit out at the sale, which is seen as a means for Russia to maintain influence in the Middle East.
Iran and Russia are also in talks on a sale of the Sukhoi SU-30 fighter, another proposal criticised by the US. Iran's current air force fleet dates from the pre-revolutionary era of the Shah.
Speaking at today's parade, President Hassan Rouhani insisted Iran's plans to upgrade its military capabilities were defensive in nature, referring to the worst conflicts in the Middle East.
"When Baghdad was threatened by terrorists, the Islamic Republic of Iran responded to the call of the people, the army and the Iraqi government to defend Baghdad and the holy places," he said, referring to the surge of the jihadist Islamic State group in June 2014.
The same action was taken in Syria, where Iran has supported President Bashar al-Assad's regime with military and financial aid, he added.
The upgrading of Iran's military following the nuclear deal has also alarmed Saudi Arabia, Tehran's regional rival.
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