Mr Fauviau, who is a retired army officer, has said that he drugged a number of players, but that he was mentally ill at the time.
The court, at Mont-de-Marsan, was told that Mr Fauviau devoted himself to his children's tennis careers between 2000 and 2003, and took his son Maxime, 16, and daughter, Valentine, 13, to matches.
It has been reported that neither of the children knew that on as many as 26 occasions their father had helped them win by spiking their rivals' water bottles with a sedative drug that made them too drowsy to compete well.
However, in July 2003 one of those rival players was killed when driving home after a match.
Mr Fauviau does not deny spiking the drinks but said that watching his children play tennis was so stressful that he had to do something, but, he told the court, he never intended to kill anyone.
His daughter Valentine pleaded with the court to show mercy on her father, and said he did what he did out of love for her.