A special bill was drafted to manage the renovation of the Paris landmark, whose roof was largely destroyed in a blaze last month.
The Gothic structure is a national treasure and many people mourned as flames engulfed the 850-year-old cathedral. The law was adopted by 32 votes in favour, five against and 10 abstentions after a long debate on Friday.
It will now go before senators for further scrutiny later in May. In the immediate aftermath of the fire, donations flooded in for the cathedral's restoration. So far, nearly €1 billion has been raised.
"Yes, we want to move quickly. Some have accused us of wanting to move too quickly but the outpouring of generosity was very fast so we can and must respond, which is what we are doing," said culture minister Franck Riester.
