He also lashed out at the French far right and hard left for uniting in an “anti-republican front” to bring down the Government.
The French presidency said earlier Barnier and his ministers remain “in charge of daily business until the appointment of a new government”.
Limiting any impression of political chaos is all the more important for Macron given that on Saturday he will host world leaders – including US President-elect Donald Trump – for the reopening of the Notre Dame cathedral in Paris after a devastating 2019 fire.
National Assembly speaker Yael Braun-Pivet, a member of the president’s centrist faction, urged Macron to quickly choose a new premier, saying France could not be allowed to “drift” for long.
In an unusual move, Foreign Minister Jean-Noel Barrot, France’s top diplomat for just two-and-a-half months, urged unity in a message on social media, saying “instability is vulnerability” at a time of international uncertainty.
A majority of lawmakers on Wednesday supported the no-confidence vote proposed by the hard left and backed by the far right headed by Marine Le Pen.
Barnier’s ejection in record time came after snap parliamentary elections in June resulted in a hung Parliament. No political force was able to form an overall majority and the far right held the key to the Government’s survival.
The trigger for Barnier’s ouster was his 2025 budget plan, including austerity measures unacceptable to a majority in Parliament, but which he argued were necessary to stabilise France’s finances.
On Monday he forced through a social security financing bill without a vote, but the ousting of the Government means France is still without a budget.
New legislative elections cannot be called until a year after the previous ones in summer 2024.
But while Macron has more than two years of his presidential term left, some opponents are calling on him to resign to break the deadlock.
According to a poll by Odoxa-Backbone Consulting for Le Figaro daily, 59% of French want the President to step down, while a survey by Harris for RTL put the figure even higher, at 64%.
But Macron said: “The mandate that you gave to me democratically (in 2022 elections) is a five-year mandate and I will exercise it fully, right up to the end.”
He said Le Pen’s far-right National Rally (RN) had its eyes on the 2027 presidential elections, accusing the party of seeking to sow “chaos”.
“They are not thinking about your lives, let’s be honest. They are thinking of just one thing – the presidential election,” said Macron, who must step down after the 2027 polls.
But he admitted his decision to call snap parliamentary elections this summer that resulted in a hung Parliament “was not understood”.
“Many have blamed me for it and I know, many continue to blame me. It’s a fact and it’s my responsibility,” he said.
Barnier is Macron’s fifth Prime Minister since coming to power in 2017. Each successive premier has served for a shorter period and, given the composition of the National Assembly, there is no guarantee that Barnier’s successor would last any longer.
Loyalist Defence Minister Sebastien Lecornu and Macron’s centrist ally Francois Bayrou have been touted as possible contenders, as has former Socialist premier and interior minister Bernard Cazeneuve.
Bayrou, who leads the MoDem party, had lunch with the President at the Elysee, a source close to him told AFP.
-Agence France-Presse