The official James Bond Twitter handle quoted Wilson and Broccoli as saying, "We are delighted to be working with Cary. His versatility and innovation make him an excellent choice for our next James Bond adventure".
Fukunaga replaces previous Bond 25 director Danny Boyle, who stepped down from the project in August.
Bond is back on.
With Daniel Craig reprising the titular role for the last time, Bond 25 is set to begin filming in March, with a new release date of February 14, 2020.
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The appointment will be a disappointment for SJ Clarkson after earlier this month it was suggested she could become the first ever female director of a 007 film.
Meanwhile, upcoming for the director is Maniac, the hotly anticipated black comedy series for Netflix, starring Emma Stone and Jonah Hill, which premieres tomorrow.
Fukunaga is best known for directing Beasts of No Nation, a war drama co-starring Idris Elba, who received a Bafta nomination for his performance as a brutal paramilitary. He could be the flawless collaborator to send off Craig's acclaimed take on James Bond in his fifth and final film.
Release was delayed from the planned November 2019 after "Slumdog Millionaire" director Boyle left the project last month over what producers said were creative differences.
Rumours were rife about Craig and Boyle clashing over other casting issues - with the actor being said to have signed off on all major new signings since he began his tenure.