Robert Farquharson's car plunged into a dam at Winchelsea in southern Victoria on Father's Day 2005.
He swam free but his three sons Jai, 10, Tyler, seven and two-year-old Bailey drowned.
Farquharson had separated from the boys' mother and was returning home from an access visit at the time of their deaths.
Robert Farquharson's car was removed from the water the night of the crash, (HANDOUT/VICTORIA POLICE)
He was found guilty of their murder in 2007 before his conviction was quashed on appeal in December 2009.
He was again found guilty in 2010 and sentenced to life with a minimum of 33 years, with a further two appeals later rejected.
Farquharson will base his latest appeal bid, scheduled for later this year, on Victorian laws introduced in 2019 that relate to new evidence that there has been a miscarriage of justice, the ABC reported on Thursday.
He has always maintained his innocence and two doctors diagnosed him with cough syncope, a condition that causes a person to pass out after a coughing fit.
The three Farquharson children lost their lives in a dam at Winchelsea. (Geelong Advertiser/AAP PHOTOS)
That was contested by the prosecution and another medical expert who gave evidence in court.
The mother of the boys, Cindy Gambino-Moules, died in May 2022 after a medical episode at her home.
In January, Department of Health secretary Euan Wallace stripped Farquharson of rights over his children' graves.
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