Jose Breton said the children, Ruth who was the eldest and Jose, went missing on October 8, 2011, while on an outing with him at a park in the southern city of Cordoba, a month after his wife had left him and moved to another city with the two youngsters.
The 41-year-old former soldier, who has always proclaimed his innocence, was arrested ten days later on suspicion of kidnapping.
Police drained local ponds, dragged rivers and searched properties but failed to find any trace of the children.
Police scientists had originally said the bones found in the furnace belonged to animals.
Forensics experts determined that the children were given tranquilisers but could not say if they were still alive when they were incinerated in the oven.
The trial jury, made up of seven women and two men, found Breton guilty of murdering his young children on July 12. On Monday, a Cordoba court gave him a jail sentence of 40 years -- twenty years for each murder.
Breton's ex-wife, Ruth Ortiz, had insisted from the beginning that he was behind the children's disappearance out of revenge for her leaving him.
"He has to tell the truth. He is responsible for the disappearance of my children and he has to speak up," she told a rally of her supporters in January 2012, just three months after the children vanished.
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