WASHINGTON — The House voted Thursday to make it easier for states to deny federal family-planning funds to groups such as Planned Parenthood that also perform abortions.

A rule imposed by the Obama administration says that states cannot deny funding to clinics for reasons unrelated to their ability to provide basic family planning services.

Federal dollars cannot be used to pay for abortions, except in restricted circumstances.

Tennessee Rep. Diane Black and other Republicans said the rule, finalized in December, unfairly restricts how states can spend federal family-planning funds.

“We must return to a point where states are empowered to make their own health-care decisions … without fear of reprisal from the federal government,” Black said.

The resolution she sponsored merely allows states to reallocate money targeted for family-planning clinics to other, more comprehensive providers such as community health centers, Black said.

Supporters, mostly Democrats, said the current rule protects access to health care for millions of women.

“Despite their promise to focus on jobs and the economy, Republican leaders have made attacking women’s health care their top priority during the 115th Congress,” said Rep. Diana DeGette, D-Colo.

Repealing the rule would leave family planning clinics across the country vulnerable to Republican-backed efforts at the state level to strip them of funding, DeGette said.

“Sadly, if the roll-back of this program succeeds, those who will suffer most are the uninsured, people with low incomes and those living in rural and remote areas,” DeGette said.