"Major crimes have been ascertained and there is a concern that the suspect might attempt to destroy evidence," Judge Kang Bu-young said in a text message to reporters.
"The court recognizes the need, necessity and reasonableness of the suspect's arrest."
"The suspect abused the mighty power and position as President to take bribes from companies and infringed upon the freedom of corporate management and leaked important confidential official information," said the statement from the Seoul Central District Prosecutor's Office.
Park had been held in a temporary detention facility at the Seoul Central District Prosecutor's Office Building ahead of the court's decision.
No formal indictment yet
The former President was taken to Seoul Detention Center on Friday, the same location where her confidant Choi Soon-sil and some of the other high-profile figures embroiled in the ongoing scandal, including Samsung heir Lee Jae-yong, have been detained.
According to the Justice Ministry, the new conditions will be harsher than her previous accommodations at South Korea's Blue House, the President's official home and offices.
The day starts at 6.30 a.m. and lasts until 9 p.m., during which inmates can go outside for exercise and have approved visitors. A standard green prison uniform is the standard outfit.
Breakfast on Friday morning was rice, dried pollack soup, two types of kimchi and seaweed, the Justice Ministry said.
Park has not yet been formally indicted, prosecutors said. Prosecutors can detain Park for up to 20 days before formally charging her.
Downfall of a president
Park was removed from office March 10, after South Korea's Constitutional Court upheld a decision to impeach her for alleged corruption.
The scandal dominated the headlines in South Korea and prompted mass protests when it emerged late last year. The controversy centered around Park's friend and close adviser, Choi, who is alleged to have significant and inappropriate influence over Park. Choi is on trial for abuse of power and fraud.
A presidential election will be held on May 9 to choose a new leader.
CNN's Taehoon Lee reported from Seoul and Joshua Berlinger contributed to this report from Hong Kong.