People living in the biggest city in the state of Texas in America, have been told to stay off the streets after dark for the rest of this week.
Houston was one of the places battered by Hurricane Ike on Saturday, and most of it is still without electricity.
Officials brought in the curfew to try and stop people stealing from damaged homes and shops.
They also said it was dangerous for people to be out at night with no street lights.
Judge Ed Emmert of Harris County said: "Please don't venture out unless you absolutely have to."
Hurricane Ike left a trail of destruction
Officials also said schools and airports in the city would be closed for some time.
Nearly 2,000 people have been rescued from the coastal areas of Texas.
And eight people are said to have died when the huge storm hit America, five in Texas, two in Louisiana and one in Arkansas.