It was a dramatic fall for Park, a daughter of slain dictator Park Chung-hee, who was elected as the country's first female president in late 2012 amid a wave of support from conservatives who remembered her father as a hero who pulled the country up from poverty despite his suppression of civil rights.
"I am sorry to the people. I will sincerely undergo an investigation," Park said when arrived at a Seoul prosecutors' office
She did not elaborate and went inside the building amid a barrage of camera flashes.
It was not clear if her remarks meant she acknowledged the corruption allegations, as she has repeatedly denied any legal wrongdoing. South Korean politicians embroiled in scandals often offer public apologies for causing trouble though they deny their involvement.
Dozens of high-profile figures including some top Park government officials and Samsung heir Lee Jae-yong have already been arrested or indicted in connection with the scandal.
Park could face extortion, bribery and other criminal charges, but it is not known if prosecutors will seek to arrest her anytime soon, especially ahead of an election in May to choose her successor.
Earlier Tuesday, hundreds of Park supporters waited for hours near her Seoul home, holding national flags and chanting her name as thick lines of police officers separated them from a group of reporters.