Mr Jindal has promised to fight corruption in Louisiana
Mr Jindal, 36, also becomes the youngest US governor and the first Indian-American to head a state.
The Republican took 54% of the vote to win outright over his nearest rival, Democrat Walter Boasso, who got 18%.
Outgoing Democratic Governor Kathleen Blanco chose not to run again after she was widely criticised for her handling of the 2005 Hurricane Katrina crisis.
The Oxford-educated son of Indian immigrants, Mr Jindal narrowly lost the 2003 election to Ms Blanco.
In his victory speech, Mr Jindal repeated his election pledge to fight corruption in the state.
"They can either go quietly or they can go loudly, but either way they will go," he said, referring to people who were "feeding at the public trough".
He has also promised to cut taxes and improve education.
United States House of Representatives and newly elected Governor of Louisiana.
On Saturday, it was announced that the first non-white Governor had been elected for the State of Louisiana in the United States in over 100 years. He is also the youngest Governor ever elected in Louisiana.

Bobby Jindal, 36, an Indian-American and Republican, won the election receiving 54% of the votes, with the nearest opponent, Walter Boasso having only 18% of all votes.

"Let's give our homeland, the great state of Louisiana, a fresh start. They can either go quietly or they can go loudly, but either way, they will go," said Jindal during his victory speech. He plans to improve education throughout the state and cut taxes.

The local and statewide results from Louisiana's primary election yesterday have cast doubt upon the theory that the Republican Party was injured politically from the aftermath of Hurricane Katrina.

Jindal will be sworn in as the fifty-sixth Governor of Louisiana on January 14, 2008.