Police spokesman Lars Borg says it was unclear how or why the man, a foreign national but who holds a Danish residence permit, had entered the pit, but said investigators could not exclude suicide. His name and nationality were not immediately released.
The man's body was found by a zoo keeper early Wednesday morning, surrounded by three tigers.
Zoo manager Steffen Straede says it is the first time in the zoo's 152-year history that such a thing has happened.