Japanese exports on U.S. cheese and other dairy have already increased since tariffs on U.S. goods have dropped. 

As part of phase one of the U.S.-Japan trade pact, Japanese tariffs on hard cheeses dropped from 29.8 percent to 26 percent on Jan. 1. On April 1, the rate will go down to 24.2 percent. 

According to Agri-Pulse, the thing Senior VP of Trade Policy at the U.S. Dairy Export Council is most proud is the level playing field the United States is now on with Australia, New Zealand and the European Union. 

"Yes, we're expanding, but the critical element for dairy is that we're not going to lose our market share (in Japan)," he said.