Donald Trump supporters have amped up the suggestion of violence against Hillary Clinton, shouting "execute her" at a rally, while Trump surrogates made lewd jokes about her personal life.

Speaking about the investigation around Ms Clinton’s emails at a rally in Atkinson, New Hampshire, former governor John Sununu was met with chants of "lock her up".

One man then shouted: "Execute her!"

The Trump surrogate waved his hand and replied: “No, we don’t want any of that.”

Despite his protestations, Mr Trump and his allies have encouraged heated and even threatening rhetoric against Ms Clinton, her allies and anyone who has challenged their administration.

At the same event, Mr Sununu made a lewd joke when he asked the crowd whether Bill Clinton was referring to his wife when he said, "I did not have sex with that woman".

He was referencing the former president's statement about his intern, Monica Lewinksy, in 1988.

He laughed and blamed the previous speaker on the stage, former senator Bob Smith, who had imitated Mr Clinton's voice, asking voters to not vote for his wife.

Mr Trump and his supporters have claimed that Bill Clinton has an illigitimate son, and that he committed sexual assault while he was in office. The speculation has been used as a tool to attack his wife.

Mr Trump’s top aide, Dan Scavino, was condemned for tweeting a sinister threat to Fox New anchor Megyn Kelly, who has consistently challenged Mr Trump’s anti-women remarks.