Hollande was speaking on the sidelines of a ceremony in Paris on Monday the day after Macron, a pro-EU centrist, won a resounding victory over far-right rival Marine Le Pen.
German Chancellor Angela Merkel said Monday that millions of Europeans were counting on the success of incoming French president Emmanuel Macron.
"Macron carries the hopes of millions of French people and also many in Germany and across Europe," she told reporters, saying she was "very pleased" by his victor
"He led a courageous, pro-European campaign and stands for openness to the world and decisively for the social market economy."
The election victory of French pro-EU centrist Emmanuel Macron has raised hopes among liberal democrats that the populist and anti-globalisation juggernaut behind Brexit and Donald Trump is losing momentum.
Some even hailed Macron's defeat of far-right candidate Marine Le Pen as "three-nil" after moderate politicians also beat extremists in Austria and the Netherlands in recent months.
For them, Macron's victory brought badly needed relief after last year's shock results in Britain and the United States, widely seen as revolts against "establishment" candidates and institutions.
While Trump has vowed to put "America first", curtail immigration and free trade, and Britain has turned its back on the EU, Macron has pledged economic reforms for a France at the heart of the European project.
In Europe's other big election this year, the German vote in September, centre-right Chancellor Angela Merkel is leading in the polls while the fringe anti-immigration Alternative for Germany (AfD) party is losing steam.
"After Brexit and Trump's victory, the Western world and Europe have been spared another political earthquake," said German daily Frankfurter Allgemeine Zeitung, adding that Europe had dodged the "nightmare" of a far-right leader in the Elysee Palace.
The New York Times said that France, like the United States,
Britain and other major democracies, faced the challenge of "many people feeling marginalised by globalisation, economic stagnation, an unresponsive government, unemployment, faceless terrorism and a tide of immigrants".
However the newspaper, which has been at the forefront of critical coverage of the Trump presidency, said that French voters had opted for a "future in Europe rather than in resentful isolation" and delivered "a victory of hope and optimism over fear and reaction".
Eurosceptics have been on the rise on a continent badly rattled by the eurozone debt crisis and the mass refugee influx that peaked in 2015 and angered especially eastern EU members on the 'Balkans route'.
In Poland, the right-wing and anti-EU Law and Justice party took power in 2015, while in Hungary Prime Minister Viktor Orban has openly sparred with Brussels.
Last June came the stunning Brexit vote, while in Austria a far-right candidate was only narrowly beaten for the presidency.
Europe's right-wing populists, from Le Pen to Germany's AfD, were further emboldened by Trump's victory in November.
However, the tide appears to have turned this year, starting with the defeat in March in the Netherlands of anti-Islam candidate Geert Wilders.
After Macron's win, European Commission President Jean-Claude Juncker's chief of staff, Martin Selmayr, tweeted: "Kick off ... Austria. Quarter-final: Stable Netherlands. Semi-final: La France en Marche!"
If the final is the German election, Merkel also has cause for optimism.
Her party scored another strong victory in state elections Sunday, while the anti-migrant, anti-Islam and eurosceptic AfD, riven by infighting, has badly slipped in the polls.
The head of the small, liberal FDP party, Christian Lindner, said "after 2016 was the year when populists, over-simplifiers and extremists celebrated success, 2017 is the year of the moderate forces".
'Economics of envy'
Many, however, warned it was too early to claim victory for centrist politics.
Martin Quencez of think-tank the German Marshall Fund of the United States warned that in France "the structural issues behind the populist votes are yet to be tackled".
"One third of the voters supported the nationalist, anti-EU and anti-globalisation candidacy of Marine Le Pen, and this will remain the main political opposition to the new president."
UBS bank economist Paul Donovan wrote that "the recent run of election results may tempt investors to think that anti-establishment politics is over. This would be unwise."
He warned that income inequality and other "fundamental causes of anti-establishment politics" continue to "encourage scapegoat economics -- a desire to blame an external group for economic problems".
The Guardian judged that "the Front National has slowly been gaining ground for the last 45 years and its steady electoral increases must be seen in the long term".
Similarly, German Foreign Minister Sigmar Gabriel warned that now Macron must be allowed to succeed because "if he fails, then Madame Le Pen will be president in five years' time".