Trudeau has denounced the "national security" justification for the new tariffs.
Mexico is fighting back against President Trump's tariffs on steel and aluminum.
"Didn't you guys burn down the White House?"
A White House and Treasury spokesperson did not respond to a request for comment.
Mexico has announced new tariffs on United States products in response to Donald Trump's decision to impose steep duties on imports of steel and aluminium. Mexican negotiators say they won't consider splitting negotiations for a matter that should be covered under the North American Free Trade Agreement, a 1994 pact among the United States, Mexico and Canada.
The top Trump aide spoke hours after the WTO circulated formal complaints from Canada and the European Union against steep tariffs imposed by the USA last week.
Kudlow said the Trump administration remains interested in the WTO and is working to resolve some of its trade disputes through the organization, but maintained its rulings would not determine US policies.
Kudlow also said he relayed Trump's message to a senior member of the Prime Minister Justin Trudeau's office.
Apparently the Smithsonian Institute agrees with the President, publishing an article titled, "Today We Celebrate the Time Canada Burned Down the White House".
"I think the important thought here is he may be moving quickly towards these bilateral discussions instead of as a whole", Kudlow said.
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"His preference now-and he asked me to convey this-is to actually negotiate with Mexico and Canada separately", Kudlow said.
The system of global trade the US helped build in the aftermath of World War II, he said, was a "mess" that had "broken down".
That move unleashed fury in the Group of Seven (G7) industrialized nations and prompted quick retaliation from Canada and Mexico and a promise from the European Union to do so as well, unnerving investors who fear a trade war that could derail the global economy.
The Trump administration placed a 25 percent tariff on steel and 10 percent tariff on aluminum with the aim of propping up us metals manufacturers.
Mexico has imposed new import tariffs on USA goods, including pork products.
Disruption to U.S. -Canada trade could also affect cross-border supply chains that have grown during the NAFTA era.
Adding to the uncertainty is European anger over Trump's decision to pull the United States out of the worldwide nuclear agreement with Iran.
What administration officials have insisted is only a "trade dispute" appears closer to becoming a trade war.
Trump late last month announced that tariffs on US$50 billion worth of Chinese imports will be finalised by June 15 with investment restrictions due by June 30 and that both measures will be implemented shortly after those deadlines.