: "Overall, we do like his nationalist views and his words about shutting down the border to illegal aliens."
The comments are believed to be in reference to Trump's repeated pledge to build a wall along the USA's border with Mexico.
Trump's mortified campaign team were quick to brush aside any link with the group.
A statement said: "Mr. Trump and the campaign denounces hate in any form.
"This publication is repulsive and their views do not represent the tens of millions of Americans who are uniting behind our campaign."
The Klan is estimated to have around six thousand members - down from a peak of six million in the 1920s.
The right-wing nationalist group - infamous for donning white robes - was responsible for lynching thousands of black Americans during the 19th and 20th centuries.
Trump has seen a groundswell of support in recent days, with one influential Washington Post/ABC poll putting him ahead in the race for the White House.
The businessman had found himself 12 points adrift of Hillary Clinton only two weeks ago.
But the FBI's announcement of an investigation into his Democrat rival's private email server has thrown the race wide open just a week before polling day.
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