Reps Ed Royce and Eliot Engel sponsored the bill, which requires the Trump administration to identify for sanctions the companies and individuals inside and outside of Iran that are the main suppliers of Tehran's ballistic missile programs. Lawmakers voted 423-2 to pass the measure.
Royce, a California Republican, is chairman of the Foreign Affairs Committee and Engel, who is from New York, is the panel's top Democrat. Both opposed the nuclear agreement when it was forged two years ago, but neither lawmaker is in favor of ditching the deal now.
Royce has said that despite the deal's defects, he wants the US and other nations that are party to the accord to "enforce the hell out of it."
That includes making certain that international inspectors have better access to possible nuclear sites in Iran, according to Royce, and addressing "sunset" provisions in the agreement that will begin to expire in year 10 of the accord, heightening concerns Iran may be able to build an atomic bomb even before the end of the pact.
The House vote comes less than two weeks after Trump refused to certify that Iran is complying with the accord, which is aimed at preventing Iran from assembling an arsenal of atomic weapons.
But Trump, breaking his campaign pledge to rip up the agreement, did not pull the US out or re-impose nuclear sanctions against Iran.