"The Supreme Court is completely out of control, making laws on their own, and has become a public opinion poll instead of a judicial body," said Jindal, the 13th Republican aspirant to aim for the White House in 2016 election.
"If we want to save some money let's just get rid of the court," he said.
Jindal said the Supreme Court ruling on gay marriage fundamentally redefined the institution of marriage.
"Marriage between a man and a woman was established by God, and no earthly court can alter that," he said.
He argued that protecting same-sex marriage would open the door to discrimination against people of faith who oppose its practice.
"Hillary Clinton and the Left will now mount an all-out assault on religious freedom guaranteed in the first amendment," Jindal said of the Democratic 2016 front-runner.
Clinton has praised the landmark decision.
In a 5-4 ruling on Friday, the Supreme Court said the Constitution requires all 50 states to carry out and recognise marriages between people of the same sex.
Jindal formally launched his 2016 Oval Office bid earlier this week.
Turning his ire to the court for upholding the healthcare law, or the Obamacare -- the centrepiece of President Barack Obama's presidency, the 44-year-old wrote in Time magazine: "Thursday, the Supreme Court had its say on Obamacare; soon, the American people will have theirs."
The Court's decision upholding subsidies for states participating in the federally-run insurance exchange "violates the plain text of Obamacare," he wrote.
"It's a sad outcome for the rule of law -- and the English language," Jindal wrote, adding, "Of course, Obama, who took an entirely predictable victory lap on Friday, would have you believe otherwise."
Jindal's angst was also directed towards President Obama.
"So, much as the President would like the debate on Obamacare to be over, it isn't. The debate persists in large part because the law has singularly failed in its prime objective: Containing health care costs."
"No wonder the law remains singularly unpopular. When it comes to winning the debate on Obamacare, there is still all to play for," he wrote.
"But in order to win, we conservatives first have to play."