"We are definitely going to end up with these tariffs, and we're going to roll this out very, very quickly," Steven Mnuchin told Fox Business.
The treasury secretary did not specify whether some countries would get an exemption, but noted that Trump has not made a decision regarding exemptions to tariffs.
Last week, Trump said that 25-percent and 10-percent tariffs would be imposed on imported steel and aluminum, respectively, beginning this week for an indefinite period of time.
On Tuesday, Trump indicated that the talks between the United States and the European Union on the issue of tariffs would be possible if the bloc suspended certain duties on US products.