In a tweet, French Interior Minister Gerald Darmanin said the extra policing would "ensure the security of the demonstrations and guarantee the right to demonstrate".
Macron's reform to raise the retirement age to 64 from 62, has already sparked weeks of protests and strikes.
"We are not asking to bring down the government, but to bring down the retirement reform," said Sophie Binet, leader of France's hard-left CGT union, on BFM TV on Sunday.
The months-long battle against Macron's push to raise the retirement age has raised the profile and membership of France's unions, which have drawn interest from younger and private sector workers.
Reporting by Kate Entringer and Mimosa Spencer; editing by Barbara LewisOur Standards: The Thomson Reuters Trust Principles.
Persons:
Emmanuel Macron's, Gerald Darmanin, Sophie Binet, Binet, Kate Entringer, Mimosa Spencer, Barbara Lewis
Organizations:
French, CGT, Thomson
Locations:
Paris