It's after the resignation of Edouard Philippe who has been in the post for three years.
Mr Castex, 55, is relatively unknown in France, although he is a senior civil servant.
The new Prime Minister has been a key player in the government's response to the Covid-19 pandemic.
Trump cancels US strikes on Iran, citing progress in talks
US President Donald Trump called off plans for renewed military strikes on Iran at the last minute on Thursday, saying negotiations with Tehran had advanced to the highest levels of Iran's leadership and had been approved by a broad coalition of regional powers.
US confirms third strike on Indian-crewed tankers this week
A US jet fired two missiles into the engine room of the tanker Jalveer off Oman on Thursday, US Central Command confirmed, as authorities said the 20 crew members were safe after the third strike on Indian-crewed tankers this week.
UK defence minister Healey quits, says PM Starmer's plans fail to keep country safe
British defence minister John Healey quit on Thursday in a dispute over military spending, accusing Prime Minister Keir Starmer of failing to commit the government resources that are needed to defend the country at a time of heightened threat.
False alarm at the Pentagon triggers brief shelter-in-place order
A false alarm at the Pentagon following an air quality warning briefly triggered a partial shelter-in-place order on Wednesday at the US military's headquarters, as first responders worked to rule out exposure to hazardous materials, officials said.
Trump says US will hit Iran 'very hard', take control of energy infrastructure
The United States will hit Iran "very hard tonight" and will soon take control of the Middle Eastern country's oil and gas infrastructure and markets, US President Donald Trump said on Thursday.
US and Iran trade attacks for a second day, undermining shaky ceasefire
The US and Iran have traded air attacks on Thursday for a second straight day, with President Donald Trump vowing further strikes if Tehran does not immediately agree to a peace deal.
Bahrain says debris from intercepted Iranian drones injures child, damages homes
Bahrain's Interior Ministry said on Thursday that an 11-year-old girl suffered minor injuries, while vehicles caught fire and homes were damaged in Hamad Town and the capital Manama after debris fell from Iranian drones that were intercepted and destroyed.
Philippines launches probe into deaths of two athletes from top basketball team
Philippine law enforcement launched on Thursday an investigation into the deaths of two student athletes from a top university basketball team, in a case that has drawn widespread attention in a country where the sport is hugely popular.
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Pinoy Expat Corner
Why did they choose bowling as their hobby, and what makes it unique compared to other activities?
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What’s the difference between fishing here in the UAE compared to the Philippines?
