According to AFP, quoting security sources, the twin attacks on the French embassy and the country's military headquarters Friday left dozens dead or wounded.
Burkina Faso'sarmy has released the names of the eight members of the security force who were killed in the attacks.
The group said the Ouagadoudou attacks were a response to the deaths of some of its leaders "in a French army raid in northern Mali two weeks ago", the agency reported.
One of the militants' assaults destroyed a room in the army headquarters where senior officers were to have met but was relocated at the last minute, according to Security Minister Clement Sawadogo.
The 15 ambassadors expressed their solidarity with Burkina Faso in its fight against terrorism and also stressed the need to intensify regional and global efforts to combat terrorism and violent extremism, which may be conducive to terrorism.
The violence began mid-morning when heavy gunfire broke out in the centre of the Burkinabe capital.
No one in the embassy was hurt, but a gendarme and the four attackers were killed, French Foreign Minister Jean-Yves Le Drian said in televised remarks. According to witnesses, five men who are armed got out of the vehicle and opened fire on people passing by before they began to head towards the French Embassy. The attacks marked the third time in about two years that the capital, Ouagadougou, has come under co-ordinated assaults by jihadists.
A gunman who attacked the military headquarters was wearing the uniform of the national army, according to a security source.
Paul Koalaga, a security consultant in Burkina Faso, said the attacks involved a "crescendo". "Targets could include hotels, restaurants, police stations, customs offices, military posts, and schools".
"Perhaps it was the target".
It has already carried out operations against terrorists with help from the French army.
The French Embassy came under attack around 10:15 a.m. Friday.
The G5 Sahel is a coalition of Burkina Faso, Niger, Mali, Mauritania and Chad, of which the main goal is fighting terrorist groups in the region.
The insurgency in the region has caused thousands of deaths, prompted tens of thousands to flee their homes and dealt crippling blows to economies that are already among the poorest in the world.
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