The flooding has closed seven of the main statins on the RER C, knocked out electricity in a large number of homes and forced over 1,000 people to be evacuated.
Typically, tourists flock to the area for boat tours, but the excursions are halted considering the river may rise to over 20 feet by Saturday, according to The Local.
Forecasters say the Seine peaked Monday, about 13 feet above its normal water level, and the river will begin to recede Tuesday.
In 2016, the last significant flood in Paris, the river reached a high of 6.1m.
France saw nearly double the amount of normal rainfall during December and January, according to national weather agency Meteo France. However, because the rain stopped on Friday, it's possible that the water levels will hover around 17 feet, the French meteorological service Meteo France said, CNN reports.
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But the world's most visited museum was on high alert, along with the Musee d'Orsay and Orangerie galleries, with the lower level of the Louvre's Islamic arts wing closed to visitors.
But fears of flooding like that seen in 1910, which saw the Seine rise to 8.62 metres and shut down much of Paris's basic infrastructure, appear unfounded.
Upstream of Paris, water levels in the Marne - the river that joins the Seine as it enters the city - continued to creep higher on Saturday, Paris police said.
In the city centre, the Seine flows through a deep channel, limiting the potential flooding damage.
Downstream from Paris, water levels in some areas have surpassed those of 2016.
'Because of climate change, we can expect floods in the Seine basin to be at least as frequent as they are right now, ' said Florence Habets, a senior researcher at the C.N.R.S., France's national center for scientific research.