Roxana Maracineanu said matches would go ahead at the “scheduled date, in a bio-secure bubble, like the Tour de France”.
France begin their campaign against Italy in Rome on Saturday (14:15 GMT).
Les Bleus will also play away in Ireland and England, while Scotland and Wales will visit the Stade de France.
“It was a decision everyone in rugby was awaiting,” Maracineanu told French television.
“The FFR [French rugby union federation] submitted to us a rigorous, strict protocol, which was then submitted to the health authorities.
“The decision has been taken within government to ensure that the Six Nations championship is held on the scheduled date, starting February 6, with a bio-secure bubble, as was the case with the Tour de France.”
Maracineanu added that visiting players would be excluded from periods of quarantine “since they will be tested every three days and remain in a closed bubble”.
The Six Nations say they welcome the French government’s decision and continue the preparations for the Championship.