The abducted man, Andy Ehanire, is the managing director of the Ogba Zoological Gardens, Benin City.
The police spokesperson in Edo, Moses Nkombe, who confirmed the development to reporters on Monday in Benin City, said the incident happened at the zoological garden.
The slain police officers were posted to the garden to provide security for fun-seekers at the zoo and nature park.
The killing disrupted activities at the zoo as many fun seekers scampered for safety, the News Agency of Nigeria (NAN) reported.
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“Our men are working on that (the incident), though we have not made any arrest,” the police spokesperson, Mr Nkombe said.
The remains of the police officers have since been deposited at the morgue of the Benin Central Hospital.
Edo State, like several other Nigerian states, has been grappling with an increase in the rate of kidnapping and other crimes.