Militants fired shells at a barracks used by the United Nations MINUSMA peacekeeping force in northern Mali on Sunday, a local official and a UN source told AFP, adding that there were no casualties.
The attack came amid heightened security concerns over the deaths of two Europeans and three locals in a jihadist attack on a nightclub in the capital Bamako.
"Some rockets were fired on Sunday morning at the MINUSMA camp. To my knowledge, there are no victims," the official said, while the UN source confirmed no one had been killed or wounded.
It was not immediately clear who was behind the attack, although Kidal is the cradle of northern Mali's Tuareg separatist movement, which has launched several uprisings from the region since the 1960s.
Tuareg and Arab militias - loyalist and anti-government - have forged a peace agreement with the Malian government formulated earlier this month in Algiers, although several rebel groups are yet to sign.
Al-Qaeda in the Islamic Maghreb and other jihadist groups also carry out operations in Kidal, including the 2013 murders of French journalists Ghislaine Dupont and Claude Verlon.