Daesh said one of its fighters blew himself up at a "large gathering" in Kabul while others "detonated a parked explosives-laden vehicle" when security forces arrived, in a statement posted on the Telegram messaging app.
I first stepped foot on Afghan soil in 1988, and in the months that followed, I worked from a Mujahideen camp on the border with Pakistan running clinics for refugee women fleeing the Afghan-Soviet war.
Health ministry spokesman Wahidullah Mayar said at least 95 people, mostly civilians and including women and children, had been taken to hospital.
The bloodshed in the capital comes amid an ongoing surge in attacks across Afghanistan, where some 1,500 people were killed or injured last month alone.
NBC News said three US officials had confirmed they had information of Hamza Bin Laden's death, but gave no details of the place or date.
The US, which invaded Afghanistan and toppled the Taliban in 2001, wants to withdraw thousands of troops but only in return for the insurgent group renouncing Al-Qaeda and curbing attacks.
US and Taliban officials have been negotiating in Qatar since last year on an agreement centred on the withdrawal of US forces, and an end to their longest-ever war, in exchange for a Taliban guarantee that international militant groups will not plot from Afghan soil.
The operations, launched on Saturday night, were aimed at foiling attacks planned by the Taliban on Afghan forces, said a senior security official in capital Kabul.
The explosions, in the capital Kabul and central province of Parwan, killed at least 45 people and injured dozens, according to police and health officials.