The second attack was timed 30 minutes later to target journalists arriving on the scene and emergency services personnel seeking to provide aid to victims of the first attack.
Relatives and friends of AFP photographer Shah Marai carry his coffin at his burial outside Kabul.
Pajhwok Afghan News reported that 25 people were killed in two explosions in the city on Monday.
"... targeting journalists goes beyond imagination, these are attacks against which we want to react extremely and strongly and not just convey our condolences to the people of Afghanistan, but ensure them that all should be done for this kind of outrage not to be repeated", said Mayaudon.
Stanikzai confirmed that journalists had been killed, but said he did not know how many.
Journalists from 1TV, Radio Free Europe and Mashal TV were also among the dead.
Marai joined AFP as a driver in 1996, the year the Taliban seized power, and began taking pictures on the side, covering stories including the United States invasion in 2001.
It comes days after the Taliban kicked off their spring offensive in an apparent rejection of calls for the militants to take up the Afghan government's offer of peace talks. He moved up the ranks and was ultimately named as the agency's chief photographer in Kabul. He is survived by six children, the youngest of which is a 15-day-old daughter.
White House Press Secretary Sarah Sanders told reporters at her daily news conference that the Trump administration "strongly condemns" the attacks that rocked the Afghan capital Kabul on Monday, killing several members of the media.
Desertions and high casualty rates have sharply decreased the number of USA -funded Afghan security personnel over the past year, a US government watchdog said.
Some Western and Afghan officials expect 2018 to be a particularly bloody year.
The report said more of the population was falling under the control of militant groups including the Taliban.