The latest militant assault on the Afghan capital comes as the Taliban intensify their nationwide offensive against the US-backed government in Kabul.
"Two suicide bombers, both on foot, detonated their explosives... In downtown Kabul," interior ministry spokesman Sediq Sediqqi told AFP.
"The attackers blew themselves up one after another and unfortunately we do have police and civilian casualties," he added.
At least five people were confirmed dead and 13 others wounded, health ministry spokesman Waheed Majroh said.
Taliban spokesman Zabihullah Mujahid said on Twitter that the defence ministry was the target of the first attack, while police were targeted in the second.
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