The trap was found on Tuesday by a member of the public between Haul Road and the beach at Kenfig nature reserve in Bridgend.
It is designed to catch an animal by its leg, using spring-operated jaws with teeth or a serrated edge.
South Wales Police said whoever set the trap was “reckless and irresponsible” as has appealed for information.
The devices are not illegal to own but the setting of the traps in the open is banned.
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