Officers launched their probe when graphic footage of students stamping on a fox cub’s head and slitting its throat was posted on Snapchat.
A second-year student was branded “pure evil” after a photo, which shows him grinning and holding a dead cat up by its tail, went viral.
The pet apparently belonged to two employees who live on campus and had posted online saying it was found dead in a hedge, believing it had been hit by a car.
Badgers are also understood to have been hacked to death as part of the sick initiation ritual.
A Hartpury College spokesman said one student had been kicked out following the cat incident and that “students have been suspended” over the death of a fox.
A former student said she was “embarrassed” to be linked to Hartpury and accused the college of brushing the vile acts “under the carpet”.
She said: “We’ll wait for the next one while the students continue their competition for who can kill the biggest animal that the college are fully aware of.
“None of these individuals have had any real consequence and will go on to work in the animal industry. Really ashamed to have been associated with this college.
“This case could have been prevented if action was taken and it had not been brushed under the carpet.”
The college spokesman said: “We continue to work with both the Police and the RSPCA.
“These incidents do not, in any way, reflect the behaviours and beliefs of the college, our students, staff and graduates.”
The college has cancelled its Open Farm Sunday event this weekend after the backlash.