Belgian intelligence and security forces had been criticised abroad for not doing more to dismantle the militant cell, because of its links to the Paris attacks.
As of April 8, all publicly identified suspects were either in detention or dead, but Belgium remains on its second highest threat level, and Prime Minister Charles Michel said his government would remain alert.
His comments were echoed by French Prime Minister Manuel Valls, who said France would not be lowering its guard.
"This is a further sign of the very serious threat facing Europe as a whole and of course France in particular," Valls told a news conference in Algiers.
Abdeslam, born and raised in Belgium to Moroccan-born parents, told a magistrate he had planned to blow himself up at a sports stadium in Paris in November, but backed out at the last minute. His brother Brahim blew himself up at a Paris cafe.
Another man linked to the Paris attacks, Mohamed Abrini, was arrested in Brussels on April 9 and admitted to being the "man in the hat" captured on video walking into Brussels airport alongside two suicide bombers.
Abrini, 31, has been charged with terrorist murders, prosecutors said.
Another main suspect who was seen alongside the suicide bomber in the Brussels metro, identified by prosecutors as Osama K, was also arrested on April 8 in the Belgian capital.
Osama K, 28, widely named by media as Swedish national Osama Krayem, was filmed buying the bags used to carry the Brussels bombs.