"Is the President lying?" ABC's host, Martha Raddatz, asked.
"Yes, he is. And it's not the first time," Bolton replied, according to the preview.
The interview, framed as a conversation with “the person the president doesn't want you to hear from,” is set to air on Sunday.
The clip also shows Bolton saying that he has not spoken to Trump since his resignation in September and doubts he ever will again.
This comes as Bolton and Trump have locked horns over Bolton's upcoming memoir, which is set to be released next week.
On Tuesday, the Trump administration announced that is has filed a lawsuit to prevent publication of the book it said contains classified information.
The White House National Security Council "has determined that the manuscript in its present form contains certain passages - some up to several paragraphs in length - that contain classified national security information," the lawsuit said.