The Director of Public Prosecutions will not take action against a person who the coroner believes could be convicted "beyond reasonable doubt" over the death of Sydney woman Lynette Bradbury.

State Coroner Teresa O'Sullivan suspended an inquest into Mrs Bradbury's death in June having formed an opinion that there was evidence capable of "satisfying a jury beyond reasonable doubt that a known person had committed an indictable offence".

Lynette Bradbury was killed on October 31, 2011.

Ms O'Sullivan then wrote to the Director of Public Prosecutions but on Wednesday, in handing down her findings into the 52-year-old's death, the coroner said she was told by the DPP last month that "no proceedings would be taken against that known person in relation to the indictable offence".

Mrs Bradbury was found face down and bound with duct tape in a bedroom at her Oatlands home in Sydney's west on October 31, 2011. She lived there with her husband, Brian Bradbury, who raised the alarm at about 11.20pm when he returned from work.