With sustained speeds of 100 miles per hour Delta is a Category 2 storm.
It is also expected to impact parts of Texas before crossing into Mississippi, though by this point at a significantly reduced strength.
Delta made landfall little more than ten miles from where Hurricane Laura hit Louisiana in August.
Currently around 5.5 million people are under flash flood watches related to Delta across the south-eastern United States.
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The hurricane lost strength on Friday declining from Category 3 to Category 2.
However John Bel Edwards, Governor of Louisiana, warned the storm is still very dangerous.
Speaking at a news conference he said: “The fact that it’s weakening should not cause anyone to lose focus, or to lose vigilance.
“Because this is still a very strong problem. It is going to bring significant impacts to the state of Louisiana.”
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The Governor added more than 9,500 people moved into shelters ahead of the hurricane’s arrival.
Mandatory evacuation orders were put in place for some areas including Calcasieu Parish and Cameron Parish.
The National Weather Service warned rainfall could reach flash flood levels across most of Louisiana with up to 15 inches of rain.
According to the poweroutage.us website around 170,000 properties are without power in Louisiana and another 75,000 in Texas.
Will Precht from Lake Charles, Louisiana, tweeted: “We just lost power here in Sweet Lake. This wind is pretty serious.
“Our generator kicked on, so we’re in good shape for now.”
He accompanied this with a video filmed through his window showing trees being rocked back by the wind and heavy rain.