Rockets landed in separate areas around the capital, Kabul, according to Afghanistan's Interior Ministry.
Explosions could be heard as Afghan President Ashraf Ghani led Eid al-Adha prayers at the presidential palace.
In video footage, Ghani seemed undeterred by the attack.
One rocket hit behind Kabul's most popular mosque and another behind its biggest shopping mall.
The third landed near the Ministry of Foreign Affairs.
There is no information yet on injuries and no group has claimed responsibility.
Al Jazeera’s James Bays reports live from Kabul, Afghanistan.
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