Without coming out in favor or against the tariffs, Baldwin said the decision "sends a strong message to bad actors like China" but also called for Trump to exempt European trading partners and do more to "target China's cheating".
House Speaker Paul Ryan agreed that the US needs to take action against "abusers of trade" like China, accusing them of engaging in practices of "dumping and transhipping" of aluminum and steel.
Flake, an Arizona conservative who has frequently feuded with Trump, said in a statement that Trump's "so-called "flexible tariffs" are a marriage of two lethal poisons to economic growth - protectionism and uncertainty".
"I'm not even - I haven't put a second of thought into this", Ryan said, a look of frustration visible on his face. "I don't think we're at the point where we need to consider that bill yet", said Sen.
Undeterred by the resignation of his senior economics adviser and pleas from more than 100 Republican lawmakers not to go through with the tariffs, Trump signed into law tariffs of 25 percent on steel and 10 percent on aluminum.
"There are potential carve-outs for Mexico and Canada, based on national security, and possibly for other countries as well", White House press secretary Sarah Huckabee Sanders said on Wednesday.
Since taking office, no issue has pitted Trump against his allies in Congress more than the tariff dispute.
USA committee might have issues with the Broadcom/Qualcomm deal
The government's move though could now spoil Broadcom's efforts to take over the American company. Broadcom's bid to acquire Qualcomm for $117 billion may be stymied by U.S. security concerns.
The people briefed on the plans said all countries affected by the tariffs would be invited to negotiate with the Trump administration to be exempted from the tariffs if they can address the threat their exports pose to USA manufacturers.
Steel and aluminum workers were invited to the White House for the afternoon announcement with Trump.
Sen. Orrin Hatch told reporters he thought Congress could stop the tariffs from being implemented.
Congressional Republicans and business groups are bracing for the impact of the tariffs and the departure of Cohn, a former Goldman Sachs executive who has opposed them.
European Union leader Jean-Claude Juncker also warned President Trump against imposing the tariffs, saying that EU nations would retaliate by placing similar tariffs on US imported products like Kentucky bourbon and blue jeans. That scenario, Tom Donohue said, would endanger the economic momentum from the GOP tax cuts and Trump's rollback of regulations.
"I disagree with this action and fear its unintended consequences", House Speaker Paul Ryan said.
"We urge the administration to take this risk seriously", Donohue said.