Bennett said the issue is now resolved from his point of view. He has cancelled a planned Wednesday news conference where he was expected to discuss the issue.
"I'm happy that we got what we asked for and that's what I was expecting all along," Bennett said Tuesday night.
Bennett made national news earlier this month when he asked Hawaii to verify Obama's birthplace to ensure the President is eligible to appear on Arizona's November ballot.
His decision reignited the simmering birther movement, though Bennett has said he doesn't associate with the birthers.
On Tuesday Joshua A. Wisch, special assistant to the attorney general in Hawaii, said the matter had been resolved.
"We have received information from Secretary Bennett that satisfied our requirement and has therefore provided his office with a verification of birth for President Obama," Wisch wrote in an email.