Police have been hunting Laachraoui after he was seen in CCTV footage with two suspected suicide bombers at the airport.
The two other men thought to have died in the blasts at the airport are being named as the El-Bakraoui brothers.
The brothers have a history of organized crime and had recently emerged as connected to the Paris attacks.
Twin explosions at the airport and another at a metro station in Brussels on Tuesday left about 34 dead and 250 wounded.
Belgium is observing three days of national mourning.
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