If you are talking about were a breed kepts rabbits. It is a rabbitary.
Hutch is answer
Answered
what is the place where food is kept
The place is called "port" where ships are kept? woodenboatusa.com
Horses are kept in a stable.
Jean had told her mother that Hazel had kept rabbits.
columbarium
nest
An apiary.
Hangar
annathavalam
Hangar
cote