The attack happened hours before a three-day ceasefire was to begin. The Taliban denied any responsibility.
Spokesman Zabihullah Mujahid said the group would not negotiate with the team as it was not selected in a way that included "all Afghan factions".
"The Taliban continued high level of violence despite the peace agreement," acting defence minister, Asadullah Kalid, said in a video statement.
President Ashraf Ghani orders release of initial 1,500, with other 3,500 fighters to be set free in parallel with progress in intra-Afghan talks. Taliban says the plan violates its peace deal with US.
Hundreds of people had assembled at two venues inside the presidential palace complex to watch the swearing-in ceremonies for President Ashraf Ghani and challenger Abdullah Abdullah, when the blasts were heard.
Military spokesman Colonel Sonny Leggett said in a tweet the “defensive” strike was the first US attack against the militants in 11 days. The aim was to counter a Taliban assault on Afghan government forces in Helmand province.
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