Belaiz is one of three figures in the interim government whose removal has been demanded by pro-democracy protesters. They are seen as part of the discredited regime of President Abdelaziz Bouteflika, who resigned April 2 after six weeks of nationwide demonstrations calling for an end to his two-decade rule.
Belaiz's departure could help calm protesters by clearing the way for someone considered more independent. Also Tuesday, the military chief called on Algerians to show "patience" during the political transition ahead.
A presidential election has been set for July 4 to choose the successor to Bouteflika, who stepped down under pressure from the military's chief of staff, Gen. Ahmed Gaid Salah.