But the storm was downgraded by weathermen from a very dangerous category four to a category one as it came nearer to the US state of Louisiana.
Almost 500,000 Americans were told to leave their homes to escape it got closer to land.
Lili had devastated the nearby island of Cuba earlier and experts were worried about its strength as it hit the US mainland.
Forecasters say it could still do lots of damage and people should stay indoors though.
The hurricane has already forced Nasa to postpone a space shuttle launch because the storm was closing in on mission control in Houston, Texas.