The relatively low-profile Castex replaces Edouard Philippe, who resigned earlier in the day. Macron is reshuffling the government to focus on restarting the economy after months of lockdown.
Poles began voting in a presidential election while the French are voting in the second round of municipal elections in 5,000 towns and cities.
Nation’s Alliance candidate, who had run a third time before securing victory, was able to appeal to both the conservative and secularist leftist voting base.
Turkey awaits its first local elections since adopting a new presidential system, due at the end of March, amid major competition between parties through powerful alliances and with the regional and international political challenges facing Turkey.
The pre-poll alliances have emerged for the upcoming municipal elections, following the pattern of a similar alliance in 2017 when Turkish citizens voted to change the country's parliamentary system into a presidential one.
Taiwan's President Tsai Ing-wen resigned as leader of the ruling Democratic Progressive Party (DPP) after it suffered major defeats in key mid-term polls.
More than 40,000 candidates are competing for 18,478 seats across all regime-controlled provinces for the country's first local elections since 2011.
Ennahda Movement won the municipal elections with 27.5 percent votes, said the state-run broadcaster. Nidaa Tounes, the country's second largest party, ranked second with 22.5 percent votes, according to unofficial results.
Opponents accuse Prime Minister Hun Sen of using unfair measures to undermine rivals in the run-up to local elections next month and a general election next year.
Judge says judiciary in Gaza Strip cannot give necessary 'guarantees' needed to hold polls, however, gives West Bank the go-ahead to elect municipal councils.
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