The Illinois Republican Party denounced Jones' campaign earlier this year, saying there is "no place for Nazis like Arthur Jones" in the GOP or the country.
"The Illinois Republican Party and our country have no place for Nazis like Arthur Jones. We strongly oppose his racist views and his candidacy for any public office, including the 3rd Congressional District," Illinois Republican Party Chairman Tim Schneider said previously in a statement.
The National Republican Congressional Committee, which is leading the party's effort to keep the House in November, will not endorse Jones, NRCC spokesman Matt Gorman said.
Jones will face off against the Democratic nominee in the 2018 midterm election to represent the solid blue district, where Rep. Dan Lipinski has held the seat for more than a decade. The 3rd District represents parts of Chicago and nearby suburbs, including La Grange and Western Springs.