Police have named the woman found dead in her Napier home on Monday night as 24-year-old Victoria Foster.
They said they were still working through the formal identification process with the coroner and a post-mortem was due to be done today.
A 28-year-old man is in Hawke's Bay Hospital in a stable condition recovering from gunshot wounds after being shot by the police after Monday night's incident.
He was seen carrying a gun and driving south out of Napier and was attempting to flee police.
It's expected he will be formally charged once he is declared fit enough by medical staff.