Mr Hollande has vowed to rework a deal on government debt in eurozone member-countries to focus on promoting growth.
The Socialist leader won just under 52% of votes in Sunday's run-off election.
Centre-right incumbent Nicolas Sarkozy is the first French president since 1981 not to win a second term.
He will hand power to Mr Hollande on 15 May, following talks between the two camps, the presidency has said.
Invitation to Berlin
Mr Hollande must act quickly to reassure other eurozone countries he is up to the considerable challenge he faces, the BBC's Christian Fraser reports from Paris.