Western Australia's Department of Housing and Works says it has listed a young Noongar family for priority transfer to a new home after they were allegedly threatened by a neighbour.

The woman and her three young sons, who live in Boorloo/Perth's eastern suburbs, were allegedly threatened on Sunday by the man with an object that appeared to be a firearm. WA Police later told National Indigenous Times it was a lighter / replica.

The alleged culprit lives in the same complex of units, which are owned by the WA Department of Housing and Works, and this publication understands at least two residents allege he has engaged in a pattern of threatening and abusive behaviour.

On Monday the woman, who is eight months pregnant, told National Indigenous Times she needs to move out as soon as possible.

"I just want to be transferred out of there for the safety of me and my kids," she said.

"I am sick of waking up listening to his drama and him looking for trouble. I'm ready to give birth any time now.

"My kids are too scared to play outside because of him, and even scared to walk outside to jump in my car. We can't live in fear like this."

Several Tactical Response Group police officers attended on Sunday. WA Police told National Indigenous Times the man had been arrested on the day and refused bail on an unrelated matter.

On Tuesday, a Department of Housing and Works spokesperson told National Indigenous Times the Department had received two complaints on August 10 "about an alleged incident involving a suspected firearm".

"This matter is currently under investigation by WA Police," they said.

"DHW takes complaints regarding tenancy matters seriously and is also investigating this incident. The complaints received are currently under investigation and appropriate action will be taken in accordance with Residential Tenancies Act 1987.

"DHW is engaging with (the young Noongar woman) to ensure that she is receiving support and is currently listed for a priority transfer. DHW will continue to liaise with (her) regarding her housing needs and will make contact as soon as a suitable property becomes available."

The woman told National Indigenous Times on Tuesday "at this stage I'd take anything available", because she fears the man will "start up again" if he returns home.

"I don't understand why it is not listed as an emergency transfer. My kids' safety should be 100 per cent the priority."

The Department spokesperson said DHW works closely with WA Police Force and local government authorities to manage concerns.

"DHW has contacted the WA Police Force for further information regarding the incident," they said.

"Tenants with immediate safety concerns should always contact the WA Police Force on 131 444 in the first instance, or 000 in an emergency."