"What we have to do is create an environment where it's more painful for these parties that have these huge trade barriers, both tariff and non-tariff, got to make it more painful for them to keep those barriers than to get rid of them," he told CNBC.

"In the particular case of China, it's compounded by their disrespect of intellectual property, the forced technology transfers, the cybersecurity breaches."

Trump this week expanded the amount of Chinese imports possibly facing new duties. He threatened on Monday to hit $200 billion of Chinese imports with 10 percent tariffs if Beijing retaliated against his previous target of $50 billion in imports, aimed at pressuring China to stop stealing U.S. intellectual property.

The growing trade conflict hit financial markets hard, with Beijing accusing the United States of "extreme pressure and blackmailing" and vowing to retaliate. With both sides upping the ante, the risks of a damaging trade war grew dramatically.

In the CNBC interview, Ross downplayed the impact of tariffs on steel and aluminum imports from Canada, Mexico and the European Union that Washington imposed last month, saying they would not have a huge impact on product prices and the overall economy.

Those tariffs, Ross said, had induced other countries to take similar action against dumping.

"After we put those in, suddenly Europe started a whole bunch of safeguard actions to protect their own borders against dumping of steel and aluminum," Ross said. "Before we put our tariffs, they hadn't done that. Similarly Japan."

"It may sound strange but the fact that we put tariffs on the goods coming out of them has modified their behavior and has induced a pretty high degree of international cooperation against dumping," he said.

(Reporting by Doina Chiacu and Lisa Lambert; Editing by Chizu Nomiyama and Bernadette Baum)