Robert Blay, a prospective parliamentary candidate in North East Hampshire, was shown in a video published by the Daily Mirror making comments about Tory opponent Ranil Jayawardena if he were to become prime minister.
The ex-Conservative made the comments to investigators from the newspaper at a public meeting on Saturday in Ramsgate, which was addressed by party leader Nigel Farage.
A Hampshire police spokesman said the force was reviewing the comments as part of “initial inquiries” but added that no one had been arrested.
Meanwhile, another Ukip candidate, John Leathley, said he was “appalled and deeply ashamed” of comments he made online about liberal newspaper columnist Yasmin Alibhai-Brown.
His Facebook postings, which apparently followed an appearance last year by Alibhai-Brown on BBC’s Question Time, included statements that the commentator “needs a good shag”.
The party said it immediately suspended Blay for his apparent outburst while Leathley — who is standing in Sedgefield, County Durham — said he was “very sorry” for being “so coarse”.