The 26-year-old French national was born in Brussels and lived there before the Paris attacks, in which some 130 people were killed and dozens wounded in co-ordinated attacks carried out by so-called Islamic State in Paris on 13 November.
He was wounded and arrested in a dramatic raid in Brussels on 18 March after four months on the run.
Salah Abdeslam was indicted by Belgian authorities last week over a shoot-out in the Forest area of Brussels in which four police were wounded, three days before he was arrested.
The European Arrest Warrant was issued by France on 19 March 2016. Followed by this, Belgium has extradited Paris attacks suspect Salah Abdeslam to face trial in France.
The federal prosecutor said Salah Abdeslam had been produced before he French authorities this morning.
It is not immediately clear where he has been taken, although it is known that he was transferred recently from prison in Bruges to the high-security jail at Beveren, near Antwerp.
