Without citing a source, Bild reported that German Chancellor Angela Merkel and her interior minister had agreed closures with the state premiers involved and that they would take place from 8 a.m. local time (0700 GMT) on Monday.
"This is not a border closure. These are steps to reinforce controls," a French presidency official said, without giving further details.
The official said French President Emmanuel Macron and Merkel had been in talks over the weekend and had coordinated their efforts.