Witnesses were quoted as saying that three gunmen opened fire on customers seated outside a restaurant.
Security forces killed three attackers, but some people are still trapped in the building, Communication Minister Remis Dandjinou says.
A jihadist attack on a cafe nearby left 30 people dead in January last year.
There are fears that the attack is the work of one of the affiliates of al-Qaeda that are active in the Sahel region, the BBC’s Alex Duval Smith reports.
Mr Dandjinou said it was unclear how many assailants had been involved.
“They are confined to one part of the building they attacked. Security and elite forces are conducting an operation,” he said on television.
The shooting began shortly after 21:00 (21:00 GMT) on Sunday on Ouagadougou’s busy Kwame Nkrumah Avenue.
The Aziz Istanbul Restaurant appears to have been at the centre of the shooting.
“The attack claimed 17 victims, their nationalities are yet to be confirmed, and eight injured,” said a government statement quoted by the AFP news agency.
A hospital in the city said that one of those killed was Turkish.
The attack is similar to one in January 2016, when gunmen targeted the Splendid Hotel and the Cappuccino restaurant, only 200m further along Kwame Nkrumah Avenue from the scene of the latest attack.
Over 170 people were taken hostage and 30 were killed. Al-Qaeda claimed responsibility for that attack.
Burkina Faso is part of the Sahel region, which includes Mali where Islamist groups have been active since 2012.
An Entrepreneur and Philanthropist. Editor-in-Chief of www.233times.com. A Senior Journalist with Ghanaian Chronicle Newspaper. An alumnus of Adisadel College where he read General Arts. He holds first degree in Bachelor of Arts from the University of Ghana; Political Science (major) and History (minor). He has also pursued MSc Corporate Social Responsibility (CSR) and Energy with Public Relations (PR) at the Robert Gordon University in the United Kingdom. He is a 2018 Mandela Washington Fellow (YALI) who studied at Clark Atlanta University on the Business and Entrepreneurship track. His mentors are Rupert Murdoch, Warren Buffet, Sam Jonah, Kwaku Sakyi Addo and Piers Morganview all posts by: Nana Kwesi Coomson
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