Gov. Mike Pence of Indiana broke with his running mate, Donald J. Trump, on the issue of President Obama’s birthplace on Wednesday, proclaiming that he does not doubt that Mr. Obama was born in the United States.

Mr. Trump, the Republican presidential nominee, was one of the leaders of the so-called birther movement in recent years, questioning whether Mr. Obama was born on American soil and was eligible to be commander in chief. Though he has avoided the topic as a candidate, Mr. Trump has not acknowledged that Mr. Obama, who was born in Hawaii, is a natural born citizen and as recently as this week said “I don’t talk about it” when pressed.

But when asked about the issue on his campaign plane on Wednesday, Mr. Pence said he took the president at his word.

“I believe Barack Obama was born in Hawaii,” Mr. Pence said, according an NBC News report.

Noting that he disagrees with Mr. Obama on matters of policy, he added, “I accept his birthplace.”