The blasts went off during rush hour on Monday morning in the ShashDarak area of the Afghan capital.
The Islamic State of Iraq and the Levant (ISIL, also known as ISIS) group claimed responsibility for the attack.
In the first explosion, a motorcycle-riding attacker detonated himself close to the National Directorate of Security (NDS), the main Afghan intelligence agency,TOLOnews quoted an interior ministry spokesman as saying.
In the explosion that followed about half an hour later, a second suicide bomber targeted emergency medical workers and journalists who had arrived near the scene of the first blast.
The second suicide bomber was posing as a journalist.
The Afghan Journalists Safety Committee reported that nine journalists who rushed to cover the aftermath of the first explosion were killed in the second blast.
A spokesperson for the Afghan health ministry said the two attacks killed at least 29 people and wounded 49 others, according to TOLOnews.
TOLOnews also reported that its cameraman, Yar Mohammad Tokhi, who had worked for the company for 12 years, was among those who were killed in the attack.
Meanwhile, AFP news agency reported that its chief photographer in Kabul, Shah Marai, was also killed.
SOURCE –AL –JAZEERA