Zerbo, a 58-year-old geophysicist and the former head of a top nuclear watchdog, is to take office in the face of growing popular dissatisfaction over a deteriorating security crisis that has gripped Burkina Faso for years.
“The president … decrees: Lassina Zerbo is named prime minister,” government spokesman Stephane Wenceslas Sanou said, reading the decree on television.
A new cabinet lineup is expected in the coming days.
He is relatively unknown to most Burkinabes but has gained some recognition abroad for his efforts towards banning nuclear explosive testing.
In late November, 10 people were hurt, including a child and two journalists, when police used tear gas to disperse hundreds of protesters in the capital, Ouagadougou.
Burkina Faso is at the heart of a conflict that has swept through large parts of the arid Sahel region, killing thousands of people, forcing millions more from their homes and leaving an immense humanitarian crisis in its wake
Despite efforts by regional armies and former colonial ruler France, attacks by armed groups linked to ISIL (ISIS) and al-Qaeda continue unabated, leaving local communities vulnerable.
Two weeks before they were attacked, the gendarmes had warned headquarters that they were running short of supplies and were having to trap animals to eat.
They had been waiting in vain for several days for a relief force when they came under attack from hundreds of fighters on pick-up trucks and motorcycles, according to accounts of the battle.
Before the new prime minister was named, on Friday night, Kabore had called all Burkinabes to rally to overcome “terrorism”.
“I make a call, to all daughters and sons of our nation, to support the war effort, each according to their abilities,” he said, without providing more details.
Late on Thursday, the armies of Burkina Faso and neighbouring Niger said they had killed about 100 “terrorists” in a joint military operation against armed groups on the border between November 25 and December 9.
They had also dismantled two bases, one on either side of the frontier, they said in a joint statement.