WASHINGTON — The Supreme Court ruled Monday that some corporations can hold religious objections that allow them to opt out of the new health law requirement that they cover contraceptives for women.

The justices’ 5-4 decision is the first time that the high court has ruled that profit-seeking businesses can hold religious views under federal law. And it means the Obama administration must search for a different way of providing free contraception to women who are covered under objecting companies’ health insurance plans.

Contraception is among a range of preventive services that must be provided at no extra charge under the health care law that President Barack Obama signed in 2010 and the Supreme Court upheld two years later.

Two years ago, Chief Justice John Roberts cast the pivotal vote that saved the health care law in the midst of Obama’s campaign for re-election. On Monday, dealing with a small sliver of the law, Roberts sided with the four justices who would have struck down the law in its entirety.

Justice Samuel Alito wrote the majority opinion. The court’s four liberal justices dissented.

The court stressed that its ruling applies only to corporations…