Pence said the Trump plan includes undertaking a review of immigration policies and suspending immigration from nations that have been compromised by terrorism.
"Trump has a plan to confront it. A part of that includes a full review of our immigration policies, suspending immigration from territories and nations that have been compromised by terrorism. And (Trump's Democratic rival) Hillary Clinton actually wants to increase the refugee flow from Syria by 550 per cent," he told Fox News.
"We need to begin to recognise that we're at war with radical Islamic terrorism," he said. "Last week, there were several terrorist attacks... Thankfully, no loss of life. We had Mr (Ahmad Khan) Rahami involved in terrorist bombings in New Jersey and New York City."
The 57-year-old Indiana governor also attempted to link the suspect in the Washington state mall shooting that killed five people to radicalisation and immigration issues.
He alleged that Clinton won't even name radical Islamic terrorism and that she "apparently thinks this is an episode of" mega-hit business reality show 'Shark Tank'.
"But this is America. It's serious business. The American people have an enormously important choice to make," he said.
"I mean, Hillary Clinton essentially wants to continue the policies of this administration that have weakened America's place in the world, stifled America's economy, walked away from our most cherished constitutional principles," he said.
But Pence said Gennifer Flowers "will not be attending the debate".
"Donald Trump's not about that. He's going to focus in this debate tomorrow night as he has throughout this election on the issues the American people care about," he said.
"Trump was using the tweet yesterday really to mock an effort by Hillary Clinton and her campaign to really distract attention from what the American people are going to be focused tomorrow night, which is on the issues, on the choice that we face," he added in the interview.
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