Zoophilia

the state of being zoophilous.
Psychology. an abnormal fondness or preference for animals.
Contemporary Examples

But zoophilia, as the practice of sex with animals is officially called, is not as rare as one might think.
Germany Weighs Bestiality Ban Amid Rise of Pet Porn, Animal Brothels Barbie Latza Nadeau November 30, 2012

If the December 14 vote passes, those caught engaging in zoophilia could be fined €250,000.
Germany Weighs Bestiality Ban Amid Rise of Pet Porn, Animal Brothels Barbie Latza Nadeau November 30, 2012

zoophilia is illegal in about a dozen U.S. states, punishable by fines and jail terms.
Germany Weighs Bestiality Ban Amid Rise of Pet Porn, Animal Brothels Barbie Latza Nadeau November 30, 2012

A new law on the table in Denmark proposes to make sex with animals, known as zoophilia, illegal.
Denmark’s Bestiality Problem: It’s Legal Barbie Latza Nadeau October 13, 2014

noun
a morbid condition in which a person has a sexual attraction to animals; bestiality
n.

“attraction to animals involving release of sexual energy,” 1899, in a translation of Krafft-Ebing, from comb. form of Greek zoion “animal” (see zoo) + -philia. “[F]ormerly not implying sexual intercourse or bestiality” [OED].

zoophilia zo·o·phil·i·a (zō’ə-fĭl’ē-ə) or zo·oph·i·lism (zō-ŏf’ə-lĭz’əm) or zo·oph·i·ly (-ə-lē)
n.
Attraction to or affinity for animals.