Kamala Harris was born in Oakland, California in 1964 to a father from Jamaica and a mother from India.
Trump earned national political prominence by promoting the "birther" lie that Obama, America's first black president, was not born in the United States.
He grudgingly acknowledged late in his 2016 presidential campaign that Obama was born in the United States.
In his Newsweek op-ed, Chapman University law professor John Eastman claimed some "commentators" said Harris was ineligible as she was not a "natural-born citizen" as her parents were not naturalized US citizens at the time of her birth.
According to the Constitution, any natural-born US citizen over the age of 35 is eligible to be president or vice president.
Constitutional law expert Erwin Chemerinsky told CBS News the claim about Harris "is a truly silly argument".
"Under section 1 of the 14th Amendment, anyone born in the United States is a United States citizen. The Supreme Court has held this since the 1890s. Kamala Harris was born in the United States," the dean of UC Berkeley School of Law said in an email to CBS.
"Some conservatives, such as John Eastman, think that is wrong and being born in the country is not enough," he said.