Macron, a 39-year-old centrist, took the reins of power from Socialist Francois Hollande at the Elysee Palace a week after his resounding victory over far-right leader Marine Le Pen in an election that was watched worldwide.
Macron is likely to reveal the name of his prime minister on Monday following which he will fly to Berlin to meet German Chancellor Angela Merkel.
Macron, once Hollande's economy minister, then accompanied his former mentor down the red carpet to a waiting vehicle.
After Emmanuel Macron was formally declared president Sunday in the Elysee Palace, 21 cannon shots were fired from across the Seine River at the Invalides monument, where Napoleon is entombed.
On Sunday, Macron sought to inject fresh optimism into a French public so disillusioned with the political establishment that in the first round of the presidential elections almost half of its voters opted for candidates who wanted to blow up the nation's political order.
Macron then headed to a hospital outside Paris where soldiers wounded in military operations are treated. It was Mr Hollande who launched the new president's political career, appointing him first as advisor and later economy minister.
All countries in the world are "interdependent ... we are all neighbours", he said.
Macron will meet with Paris Mayor Anne Hidalgo later Sunday and will take his first trip overseas Monday to Germany to visit Chancellor Angela Merkel in Berlin.
He then made a speech in the Elysee reception hall in front of about 300 guests, officials and family members, including his wife Brigitte Macron, who was wearing a lavender blue dress by French designer Nicolas Ghesquiere for Louis Vuitton.
And until a financial scandal ruined his campaign at the start of this year, Macron's mainstream conservative rival Francois Fillon had won wide electoral support for a far more aggressive set of pro-business measures.
Macron promised to tackle political, economic and social problems while restoring France's global standing.
The weeks following the inauguration ceremony will be tough as the new president prepares for June's parliamentary elections, which have been dubbed the third round of the presidential vote.
More than 230 people have died in France in attacks claimed by Islamic State over the past two years as the country has taken part in military action against the militant group that controls parts of Syria and Iraq. French leaders usually make their first European trip to meet the leader of the other half of the so-called "motor" of the European Union, AFP reported.
Mr Macron wants to push for closer cooperation to help the bloc overcome the imminent departure of Britain, another of its most powerful members. He also intends to press for the creation of a parliament and budget for the eurozone.
Merkel welcomed Macron's decisive victory over Le Pen, saying he carried "the hopes of millions of French people and also many in Germany and across Europe". It unveiled 428 of its 577 candidates this week.
Numerous candidates are newcomers in politics. Their average age is 46, compared to 60 for the outgoing assembly, and half of them are women.