The statement was made after a double suicide attack hit Kabul earlier in the day, claiming the lives of 41 people and injuring 84 more: one took place near the Sada-i-Afghan (Afghan Voice) news agency and the other reportedly hit a cultural center.
In May, ISIL claimed an attack targetting an Afghan state television building in Jalalabad that killed six people. NPR's Robert Siegel talks to Reuters' Kabul bureau chief James Mackenzie for an update on the details of the attack.
The interior ministry told the BBC the suicide blast was followed by another two explosions in the area.
Russia Accuses The US Of Supporting ISIS - Again
USA officials have said in the past that the Syrian government forces are too few, too poor and too weak to fight ISIS. Mr Assad's main ally Russian Federation also said on Wednesday the main battle with Islamic State in Syria was over.
Islamic State also claimed Monday's attack on the National Directorate of Security spy agency in a statement via their Amaq propaganda arm. The Taliban's spokesman denied that the insurgents were behind it.
The spokesperson said the building where the attack took place also houses the office of the Sada-E-Afghanistan (Afghan Voice) news agency and a mosque.
Afghan Journalists Safety Committee condemned the attack "in the strongest terms possible", writing on Twitter. Before Thursday's attack, two journalists and five media assistants were killed doing their jobs this year in the country, according to a report this month by Reporters Without Borders, an organization that works to protect freedom of press. Women and children were among the dead at the center, which accounted for the vast majority of the casualties. The numbers marked a 35 percent increase over the same period previous year.