Hours before the vote in the House, Speaker Nancy Pelosi (Democrat-California) said she did not believe Trump's administration had made the United States "safer" by killing Soleimani.
"We need to understand that the fight against Daesh is not over", said North Atlantic Treaty Organisation secretary general Jens Stoltenberg, who attended the meeting in the European Union capital and referred to an alternative name for the Islamic State group.
In Iraq, the Popular Mobilisation Forces (PMF) - known locally as the Hashd Al-Shaabi - an umbrella of armed factions integrated into the Iraqi armed forces has vowed its own retaliation for its slain deputy commander Abu Mahdi Al-Muhandis, who was killed alongside Soleimani.
The restrictions limit the targets' ability to interact with the USA financial system, do business with Americans, access dollars in some cases or travel to the United States.
"I don't have to", Trump said when asked whether he would seek congressional approval for more military action against Iran.
US Secretary of State Mike Pompeo has accused Iran of attempting to kill Americans in its missile attacks on bases in Iraq, and of downing the Ukrainian Boeing 737-800, as the US Treasury rolled out new sanctions against Tehran.
He ridiculed his Democratic opponents in Congress, calling them insulting names and claimed that if he had consulted with them they would have leaked the secret operation to the "fake news".
Speaking at an environmental event at the White House on Thursday, Mr Trump told reporters that he authorised the attack because Iran was "looking to blow up our embassy".
Meanwhile, Ismail Qaani, Soleimani's successor as head of the IRGC's Quds Force, has said Iran will continue with its "luminous path with power" which will eventually lead to the USA pulling out of the region.
The House measure was introduced as a concurrent resolution, a form of legislation that does not carry the weight of law. We had all of the top ranking intelligence people, military people.
Mnuchin said US President Donald Trump will issue an executive order imposing sanctions on anyone involved in the Iranian textile, construction, manufacturing or mining sectors.
Two Senate Republicans, Mike Lee and Rand Paul, announced support for the Senate version, suggesting the vote, as early as next week, could be razor-thin. That prompted the missile firings by Iran.
"So if the president had evidence of the specific target, that has not been communicated to us".
"We can not allow our country to be lied into another war", she said.