Lutnick's comments on US broadcaster ABC flagging the coming levies on critical technology products mark the latest twist in US President Donald Trump's tariff plans which have roiled financial markets since they were announced on what he branded "Liberation Day" on April 2.
Late on Friday Trump's administration granted exclusions from the steep tariffs on smartphones and a set of other electronics products, a move seen as a big break for technology firms such as Apple and Dell Technologies that rely on imports from China.
Lutnick said Trump would enact "a special focus-type of tariff" on smartphones, computers and other electronics products in a month or two, alongside sectoral tariffs targeting semiconductors and pharmaceuticals.
He said those new levies would fall outside Trump's so-called "reciprocal tariffs" under which levies on Chinese imports climbed to 125 per cent this week.
"He's saying they're exempt from the reciprocal tariffs but they're included in the semiconductor tariffs, which are coming in probably a month or two," Lutnick said in the interview on ABC, predicting that the levies would bring production of those products to the United States.
"These are things that are national security, that we need to be made in America."
With his comments, Lutnick appeared to go beyond what was communicated on Saturday, when a White official told media that Trump would launch a new national security trade investigation into semiconductors soon that could lead to other new tariffs.
China increased its own tariffs on US imports to 125 per cent on Friday, striking against Trump's tariffs.
Chinese officials said on Sunday that they were evaluating the effects of the exclusions for the technology products implemented late on Friday.
"The bell on a tiger's neck can only be untied by the person who tied it," China's ministry of commerce said.
Billionaire investor Bill Ackman, who endorsed Trump's run for president but who has criticised the tariffs, on Sunday called on him to pause the broad and steep reciprocal tariffs on China for three months, as he did for most countries last week.
"If President Trump were to pause the China tariffs for 90 days and reduce them temporarily to 10 per cent, he would achieve the same objective in causing US businesses to relocate their supply chains from China without the disruption and risk to these businesses in the short term, and he would have time to negotiate a deal with China," Ackman wrote on X.
US Senator Elizabeth Warren, a Democrat, criticised the latest revision to Trump's tariff plan, which economists have warned could dent economic growth and fuel inflation.
"There is no tariff policy - only chaos and corruption" Warren said on ABC's This Week.
In a notice to shippers late on Friday, the US Customs and Border Protection agency published a list of tariff codes excluded from the import taxes.
It featured 20 product categories, including computers, laptops, disc drives, semiconductor devices, memory chips and flat panel displays.
For the Chinese imports, the exclusion of the tech products applies only to Trump's reciprocal tariffs, which reached 125 per cent this week.
Trump's prior 20 per cent duties on all Chinese imports that he said were related to the fentanyl crisis remain in place.
In an interview on NBC's Meet the Press, White House trade adviser Peter Navarro said that the United States has opened an invitation to China to negotiate but criticised its connection to the lethal fentanyl supply chain and did not include them on a list of seven entities - the United Kingdom, the European Union, India, Japan, South Korea, Indonesia and Israel - with which he said the administration was in talks.
"They're just lining up outside the door of Jamieson Greer," Navarro said, referring to the US trade representative.