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.
Iran rejects Trump's talk of negotiation as Israel and Iran launch airstrikes
Israel and Iran have exchanged airstrikes on Wednesday, as Iran again rejected President Donald Trump's claim that the US was in negotiations to end the war, which has roiled energy and financial markets, saying the US is negotiating with itself.
No injuries reported as drone attack hits fuel tank at Kuwait's airport
Kuwait's Directorate General of Civil Aviation (DGCA) has announced on Wednesday that a drone targeted a fuel tank at Kuwait International Airport, which led to a fire breaking out on the site.
US expected to send thousands more soldiers to Middle East
The Pentagon is expected to send thousands of soldiers from the army's elite 82nd Airborne Division to the Middle East, according to reports on Tuesday, adding to the massive military buildup even as the Trump administration seeks talks with Iran.
Philippines works with Washington to obtain oil from US-sanctioned countries
The Philippines is working with Washington to secure waivers and exemptions so it can obtain oil from US-sanctioned countries to ensure supply, its ambassador to the United States has announced.
US safety agency says tracking system failed at LaGuardia during jet collision
The National Transportation Safety Board said on Tuesday that a system which would have allowed a New York airport controller to track movement of aircraft and vehicles did not alert during a Sunday night fatal collision between an Air Canada commercial jet and a truck that killed two pilots.
Russia fires record 948 drones against Ukraine over 24 hours, Kyiv says
A rare Russian daytime drone attack on Ukraine killed three people, wounded several dozen and set a building in the historic centre of the western city of Lviv aflame on Tuesday, officials said, following an overnight bombardment that killed five.
Death toll rises to 69 in Colombian military plane crash
A total of 69 people died when a Colombian military plane crashed soon after takeoff earlier this week, the country's armed forces said in a statement on Tuesday, in an incident that injured 57 others.
One killed, five injured in Bahrain from Iran strikes
The Ministry of Defense (MoD) have offered their condolences to the family of a Moroccan civilian contractor in the UAE Armed Forces who was killed during a routine mission in Bahrain following an Iranian missile attack.
Pinoy Expat Corner
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Pinoy Expat Corner
What does someone working on a yacht usually do? Are they often out at sea, and how long do they usually stay there?
