The federal prosecutor's office said a warrant has been issued for a man only identified as Faycal C. He is wanted for "involvement in a terrorist group, terrorist killings and attempted terrorist killings," the statement said.
A police raid was conducted at his home. No arms or explosives were found, prosecutors said.
Belgian media are reporting that a man called Faycal Cheffou has been identified as the man suspected of fleeing Brussels airport after two alleged accomplices blew themselves up there.
Authorities have wrapped up their investigation of the crime scene at the airport, and will allow engineers into the building to check its structural safety and information technology systems and whether any damage can be repaired quickly.
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The transport disruptions will do little to ease the worries of jittery Europeans, who are wondering how many violent extremists remain at large, and where and when they might strike again.
Heavily armed police swept into Brussels neighborhoods Friday in operations linked to the attacks. Signs of a large police operation remained visible Saturday at the quiet tram station in Schaerbeek district in Brussels where a man was shot.
The man, who was sitting with a young girl and holding a bag, was ordered by police "to put the bag far from him." After he did so, police shot him twice.