24-year-old Andy Cash was charged with the three murders and was remanded in custody.
A man accused of murdering his two sisters and brother in Tallaght in Dublin has been further remanded in custody.
Andy Cash of Rossfield Avenue was charged with the three murders last September.
In the early hours of September 4th last year, 18 year old Lisa Cash, and her eight-year-old twin brother and sister, Christy and Chelsea Cawley, died after they were attacked and stabbed at their family home in Rossfield Avenue, in the Brookfield area of Tallaght.
24-year-old Andy Cash was charged with the three murders and was remanded in custody.
The DPP has directed trial on indictment in the Central Criminal Court, but, the State must complete a book of evidence and serve it on him before being granted a trial order.
He appeared again at Cloverhill District Court today.
Judge John Brennan agreed to grant a three-week adjournment until March 24 for a book of evidence to be served on the accused.
The District Court cannot grant bail in a murder case which requires a High Court application.

Call For Sanitary Bins In Men’s Toilets To Support Prostate Cancer Survivors
Own-Brand Foods Often Produced By Same Factories As Big Labels, Says Money Doctor John Lowe
Kfm Strengthens Position As Kildare’s Most Listened-To Station, According To Latest Ipsos/MRBI Report
Quarter Of Uisce Éireann Staff Earned Over €100k Last Year
Meath Bird Flu Case Prompts Warning, But Chicken And Turkey Safe To Eat, Says Agriculture Minister
One-Month Road Closure In Catherinestown To Start Next Week To Facilitate Maynooth Pipeline Works
Commuter Chaos On M7/N7 Renews Calls For Standby Emergency Response Team During Morning Gridlock
Thousands Of Workers Could Get Tax Back In Time For Christmas, Says Financial Advisor