“Recent news stories reference an internal email to suggest that we would compromise the integrity of our Search results for a political end. This is absolutely false,” Mr. Pichai wrote in the email, which was obtained by The New York Times. “We do not bias our products to favor any political agenda. The trust our users place in us is our greatest asset and we must always protect it.”

Mr. Pichai’s email did not address recent reports that Google is developing a search product for use in China that would censor certain results at the behest of the Chinese government. Google employees have said in an internal letter that the project, code-named Dragonfly, raises “urgent moral and ethical issues.”

Google did not immediately have a comment on Mr. Pichai’s email to staff.

Google has recently been under scrutiny for whether its search results are biased after Mr. Trump said last month that the internet company was intentionally suppressing conservative news outlets supportive of his administration. The company did not show up at a congressional hearing this month that was attended by Twitter’s chief executive, Jack Dorsey, and Facebook’s chief operating officer, Sheryl Sandberg, to address lawmakers’ questions about social media manipulation.