A report in the New York Times said the butter-coloured home with a beamed roof was built by Trump's real estate developer father Fred Trump and the young Trump lived there from birth to age 4.
A small room upstairs, where Trump junior was said to have slept, is decorated in the red, blue and white colours of America's flag and downstairs a picture on a shelf reads 'Dream Big'.
"It's unique, and it has intangible value that goes beyond just the physical real estate," said Misha Haghani, the principal of Paramount.
The company is selling it on behalf of Michael Davis, a real estate prospector who bought it last year for slightly under USD 1.4 million with the intention of flipping it.
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"The value of Trump's name, the value of the President-elect living there as a child, an infant, that value is impossible to define."
Recently, during a television talk show appearance, Trump had hinted that he might be interested in buying the home himself. Haghani said interest in the house has been extraordinarily high but he would not guess as to how much the house would sell for.
"You're not actually getting anything of tangible value for the Trump association, it's all intangible," Haghani said in the NYT report.