Valls told RTL radio that France's Socialist party "is dead and behind us" and said he wants to join up with President-elect Emmanuel Macron's Republic on the Move.
She is still a factor in France, and her National Front may yet emerge as the strongest opposition party in the parliamentary elections next month, particularly since Mr. Macron has no party, merely a movement, called Onward!
Praise for Mr. Macron poured in from Brussels, with top European Union officials hailing his win as a much needed check to a populist wave that delivered Brexit and the election of Donald Trump in U.S.
More significantly, 61% of the French don't want Macron to win a majority in parliament, according to an Ipsos poll.
The philosophy and literature lover is inexperienced, has no political party and must fashion a working parliamentary majority after legislative elections next month.
The head of the En Marche! commission in charge of deciding on the movement's candidates told broadcaster Europe 1 that Valls "does not fulfil the criteria" to be a candidate.
The Socialist party was apparently not impressed by Valls' choice, with senior Socialist figure Jean-Christophe Cambadelis saying on Wednesday that "an exclusionary procedure was underway".
The statement from Macron's former boss - Macron was economy minister when Valls was premier - shows how the political map is being re-drawn in France in the wake of the 39-year-old's crushing victory over far-right candidate Marine Le Pen on Sunday.
China's Xi says wants to appropriately handle disputes with South Korea
In his inaugural address, Moon said his government "will negotiate with China to resolve the issue over THAAD". Moon also had a telephone call with Japanese Prime Minister Shinzo Abe, Japanese news agency Jiji reported.
Half of the candidates for the 577 seats up for grabs in the two-round June 11-18 election to National Assembly will be new to politics, Macron has said.
But relations between Valls and Macron deteriorated badly during their time in government and the heavy-hitting Spanish-born ex-leader is disliked by many Republique en Marche insiders. A possible change to the name of her National Front party may be on the cards after she vowed to lead a "new force" into the parliamentary elections.
Vowing not to be "accommodating" with Russian Federation, he said last month, "We need an extremely demanding dialogue".
Unpopular Hollande was the first to bow to the rebellious mood in December as he became the first sitting president not to seek re-election in the French fifth republic, founded in 1958.
"He's a symbol of hope", said Jean-Luc Songtia, a 36-year-old driver. "France and Israel are longtime allies and I am sure that we will continue to deepen our relations", the prime minister added.
Benoit Hamon, the unsuccessful Socialist Party candidate in the presidential contest, said he would set up a new political movement after several of his hallmark proposals during that campaign were abandoned by his own party.
In his first speech delivered after the win, Macron expressed "profound gratitude" to his voters, pledging to "calm the fears" and "bring all the French together".
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