Daisy, a tabby cat with a white tummy, was dumped outside Teckels animal rescue centre in Whitminster and found at around 10am on Tuesday.
Now Gloucestershire Police are making an urgent appeal to the public for information as they investigate this incident of animal cruelty.
Daisy was taken to a vet and is receiving treatment for a number of injuries, both external and internal.
Officers believe the cat was intentionally harmed and are eager to see the offenders brought to justice.
Inspector Tony Jones from the area's policing team, said: "This was a truly hideous crime and it's hard to comprehend why someone would want to do such a terrible thing.
"We are urging anyone who was in the area yesterday morning that may have seen the cat being left by the offender to contact us on 0845 090 1234 quoting incident number 483 of April 15. Don't forget you can also stay anonymous but still help us by reporting information via the Crimestoppers website or by calling 0800 555 111."
Gloucestershire Police are working with the RSPCA on the investigation.