Evander Kane is accusing his estranged wife of being a husband beater ... claiming the woman has punched him in the face multiple times in past -- and now, the NHL star has obtained a domestic violence temporary restraining order over it all.

It's all spelled out in court documents, obtained by TMZ Sports, which show Kane was granted a TRO earlier this month after he alleged Anna Kane had been violent with him in the past.

Evander says in the docs that the physical altercations first began in 2019 -- about a year after they were married -- saying Anna got so upset with him during an argument that she hit him "7-8 times in the face with her fist."

In Oct. 2020, Evander says Anna again struck him in the face after they had an argument while Anna's mother was visiting.