The militant group's head of South Asia, Abu Omar Khorasani, was detained in Kabul along with the group's spy chief and public relations officer, the General Directorate of National Security (NDS) and Interior Ministry said.
Afghan security forces arrested three senior ISIS members, including the group's regional leader, the government said on Monday.
The roadside bombs were spaced within 10-20 meters of one another, said Kabul police spokesman Ferdaws Faramarz.
The bombings were in an area where Afghanistan's intelligence agency recently busted a joint Islamic State-Haqqani network cell accused of carrying out several attacks.
The Taliban has not carried out any large attacks in the capital since it signed a landmark deal with Washington in February meant to pave the way for peace in the country after more than 18 years of war.
On Monday, there were four roadside blasts in the capital which wounded four civilians, including a child, according to Kabul's police.
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They are also working on national guidelines for hospitals across the rest of the country that may find similar cases. The US has reported a total of 1,329,791 COVID-19 cases and 79,528 deaths.
The statement from the Afghan Defense Ministry said the troops pushed back the attackers, adding that the Taliban also suffered casualties but without providing specific figures.
No group has claimed the attacks.
Kabul has witnessed several low-scale attacks over the past seven days, including explosions from two hand grenades on Sunday night in the western part of Kabul.
Adil further added that the Taliban militants attacked a security check post at around 9 pm local time which claimed the lives of 4 soldiers.
The NSC called on the Taliban to accelerate prisoners release and put a halt into violence and engaged in peace talks with the government.