Mr Hollande said he was fully aware of the challenges facing France, including the debt crisis and weak growth.
He will later name his prime minister and fly to Berlin for talks with German Chancellor Angela Merkel.
Mr Hollande wants “a compromise” over the German-led focus on austerity as the way out of the economic crisis.
On Monday, the value of stock markets and the euro fell amid continuing political uncertainty in Greece.
The chairman of the eurozone finance ministers, Jean-Claude Juncker, insisted on Monday night that they would do “everything possible” to keep Greece in the euro.