WASHINGTON — The House on Tuesday voted overwhelmingly to advance new financial sanctions against key US adversaries and deliver a foreign-policy brushback to President Trump by limiting his ability to waive many of them.

Included in the package, passed 419 to 3, are measures targeting key Russian officials in retaliation for the country’s alleged interference in the 2016 US presidential election, as well as sanctions against Iran and North Korea in response to their weapons programs.

Members of the Trump administration have resisted the congressional push, in particular a provision attached to the Russian measures that would require Congress to sign off on any move to relieve those sanctions. The legislation was revised last week to address some administration concerns, including its potential effect on overseas oil and gas projects that include Russian partners. But the bill passed Tuesday retains the congressional review requirement.

‘‘These three regimes in different parts of the world are threatening vital US interests, and they are destabilizing their neighbors,’’ House Foreign Affairs Committee chairman Edward Royce, Republican of California, said. ‘‘It is well past time that we forcefully respond.’’

White House press secretary Sarah Huckabee Sanders declined to say Monday if Trump would sign the bill, adding he ‘‘has been very vocal about his support for continuing sanctions on those three countries.’’

‘‘He has no intention of getting rid of them, but he wants to make sure we get the best deal for the American people possible,’’ Sanders said. ‘‘Congress does not have the best record on that.’’