Ahmed Benbitour, who served as premier from 1999 to 2000, also voiced support for a boycott of the election, in which veteran President Abdelaziz Bouteflika is due to seek a fourth term.
In a written statement to AFP, Benbitour said the April 17 poll had already proved to be "piracy with legal backing".
"Once again in Algeria, forces of fraud, have taken over... And that is why I am withdrawing from the election," he said, referring to the government and allies of Bouteflika.
On Thursday another former premier, Mouloud Hamrouche, called for a "peaceful" change of regime in Algeria which he said needs democratic reforms.