Wildlife officers said they had dealt with the incident in the LS12 area.
A large log had been dragged to the entrance of a badger sett and set on fire, police said.
They did not reveal the exact location of the offence to protect the sett.
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West Yorkshire Police - Wildlife & Rural Crime said: "Officer have dealt with an incident where a large log has been dragged to the entrance of a badger sett in the LS12 area and then set the on fire.
"Crime number 13210122099.
"Anyone with any information about this incident or any similar interference with a badger sett please call 101 or Crimestoppers 0800 555 111.
"As always to protect the sett we will not provide the exact location."
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