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.
China's Xi hails trade progress in Trump summit, sends Taiwan warning
China's Xi Jinping told US President Donald Trump that trade talks were making progress at the start of a two-day summit on Thursday but warned that disagreement over Taiwan could send relations down a dangerous path.
Ukraine's anti-corruption court places Zelenskyy's former chief of staff under arrest
Ukraine's anti-corruption court on Thursday ordered the arrest of Andriy Yermak, a close ally of President Volodymyr Zelenskyy and former head of his administration, on money-laundering charges.
Philippine Senate to convene as court next week for VP Duterte impeachment
The Philippine Senate will convene as an impeachment court on May 18 ahead of the trial of Vice President Sara Duterte, its president said on Thursday, with tensions flaring as the country's most powerful political clans face off.
Nearly 90 killed as storm lashes India's Uttar Pradesh
Almost 90 people were killed in a violent storm that pounded India's most populous state of Uttar Pradesh with rain and hail, a state official said on Thursday.
Russia pounds Ukraine in massive air attack
Russia pummeled the Ukrainian capital Kyiv and several other regions in a massive aerial attack, officials said on Thursday, killing at least one person and wounding dozens.
GCC interior ministers hold emergency meeting in Riyadh
Interior ministers of the Gulf Cooperation Council (GCC) have held an emergency ministerial meeting in Riyadh, chaired by the Kingdom of Bahrain, according to the Saudi Press Agency.
Gunshots fired in standoff at Philippine Senate over ICC suspect
Gunshots broke out in chaotic scenes at the Philippine Senate on Wednesday where troops had been deployed after a politician wanted by the International Criminal Court urged supporters to mobilise and thwart his imminent arrest.
Trump lands in China for Xi summit
US President Donald Trump and an entourage that included Nvidia's Jensen Huang and Elon Musk were greeted with a lavish welcome in Beijing on Wednesday as he prepared to ask China's Xi Jinping to "open up" to US business at the start of their two-day summit.
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How did Lightning Scientific Arnis International Dubai begin here in the UAE? What are the main skills and disciplines learned in Arnis training? #pinoytribe #TagPuyatanNa
