"I think he would be a remarkable Treasury secretary for the whole broad range of areas including tax reform, how we compete around the world, monetary policy," Brady said on CNBC's "Closing Bell" on Monday.
Hensarling, chairman of the House Financial Services Committee, had been floated as a possible pick for Donald Trump's Cabinet, but he told CNBC last week that he has not sought a position and does not anticipate an offer.
Brady said that Americans and House Republicans are keeping an eye on whoever Trump picks for the role.
"It's important to have a Treasury with all hands on deck helping us move this tax reform. You need leadership from the White House and, certainly, we're going to get it," Brady said.