Mousavi, 80, and Rahnavard, 76, had been offered to receive the jab before other people a few months ago, but they declined the offer and waited for their turn.
The Iranian Health Ministry has finished vaccinating the Iranian people above 80 years of ago, and is now vaccinating those above 75.
So far, 2,032,162 people have received the first dose of COVID-19 vaccine, and 388,821 have received the second dose, according to the Health Ministry spokeswoman.
Iran received 1.4 million doses of the Italian-made AstraZeneca vaccine on Sunday night, and one million doses of the Chinese-made Sinopharm vaccine on Sunday morning.