Charlie Baillie said "brown, black, and yellow" people should continue to be barred from joining, claiming that whites needed a party that represents their views alone.
His position appears to put him at odds with BNP chairman Nick Griffin, who told a court last month he would ask his party to amend its constitution so it did not discriminate on grounds of race or religion.
Griffin may make an appearance in the Glasgow seat ahead of the 12 November by-election.
The BNP claimed yesterday it had received 9,000 inquiries following his appearance on BBC's Question Time last week, which was watched by over eight million people.
Baillie said he would be campaigning on an anti- immigration platform, focusing on the arrival of asylum-seekers. Asked whether he would turn away a torture victim from Zimbabwe who faced death on return, he said: "Yes. They have neighbouring countries they can go to."