Al-Qaeda in the Islamic Maghreb (AQIM) has said it agitated out the attack, which began on Friday night.
Those asleep appear from at atomic 18 altered countries, and cover two French nationals.
Burkina Faso is to beam 72 hours of civic aching for the victims.
The annoy at the Splendid Auberge was declared over afterwards a collective operation by bounded and French aegis forces.
At atomic four attackers died in the assaults. There were claims that some of those complex were women.
As able-bodied as the affluence hotel, a bistro and addition auberge adjacent were targeted. The operation to yield aback the auberge lasted through the night and into the morning.
Bukinabe President Roch Kabore, who accustomed at the arena on Saturday morning amidst bound security, said at atomic 150 hostages had been liberated.
The French government said two of its nationals were asleep in the assault, and one is accepted to be injured. French medical teams were accouterment support, and argumentative admiral were travelling to Ouagadougou, it added.
The UK's Adopted Office brash British nationals in Burkina Faso to abstain the breadth breadth the advance took abode and adviser its biking advice.
In addition development, the Burkina Faso government said a adopted doctor and his wife were kidnapped on Friday night in the arctic of the country, abreast the bound with Mali. There was antecedent abashing over the pair's allegiance - the Burkinabe government said they were Austrian, but after adapted this to Australian.
In November, an AQIM advance on a auberge in Bamako, basic of neighbouring Mali, larboard 19 humans dead.
At the scene: Thomas Fessy, BBC Dakar correspondent
The breadth surrounding the Splendid Auberge has been cordoned off. Soldiers can still be apparent walking in and out of the architecture but the annoy is now over.
At atomic three cars anchored appropriate alfresco the foreground aperture are absolutely charred, the charcoal of addition two sit just beyond the street. Two burnt motorbikes lie in the middle.
The ablaze amethyst colour of the Splendid Hotel's foreground ancillary now looks black, apparently acquired by the smoke generated by explosions.
The Yibi hotel, adverse the Splendid, aswell shows signs of the attack, and the authorities say at atomic one antagonist was asleep central the building.
Militants attacked the Splendid and the adjacent Cappuccino bistro on Friday evening, ambience off several explosions. Both places are accepted with UN agents and foreigners.
Survivors declared how the militants went from getting to person, affecting their bodies to see if they moved.
"They started shooting, shooting, and everybody lay down on the ground," said Mariette, who able from the auberge with her adolescent sister.
"As anon as you aerial your arch they would shoot straightaway, so you had to pretend to be dead. And they even came to blow our anxiety to analysis if we were alive. As anon as you were alive, they would shoot at you."
Background: Tomi Oladipo, BBC Africa aegis correspondent
Al-Qaeda in the Islamic Maghreb grew from a balance of a asleep insubordinate force, abiding in Algeria's civilian war in the 1990s, into a affluent and feared active accumulation that fabricated its money from kidnapping Westerners and trafficking accoutrements and drugs.
In 2007 it appear it had abutting the al-Qaeda arrangement to action adjoin Western interests. After though, some of its associates larboard to anatomy their own factions. The a lot of notable of these was Mokhtar Belmokhtar who was abaft the 2013 annoy of a gas bulb in Algeria.
In November 2015 Belmokhtar's band said it had formed with its ancestor accumulation to advance a auberge in Mali. That signalled the acclimation of relations amid some of the factions to clean the aboriginal AQIM, which was getting overshadowed by its rival, the alleged Islamic State.
This latest advance in Burkina Faso would assume to be an attack by AQIM not just to reinforce itself as the capital jihadist accumulation in the region, but aswell to appearance that it can advance its agitated attack to new frontiers.
Interior Abbot Simon Compaore said 10 bodies had been begin on the bistro terrace alone.
As the end of the annoy at the Splendid was getting announced, letters came in that militants had taken up position at the Yibi hotel, a abbreviate ambit away. One antagonist was asleep at the Yibi, admiral said later.
Remi Dandjinou, the Burkinabe communications minister, told the BBC beforehand that amid six and seven militants had attacked the Splendid, abacus that they had been blockage at the auberge as guests.
Mr Compaore said two atramentous Africans and an Arab were a part of the militants killed.
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