Officials said members of the Bar Association converged outside the High Court complex and took out a march to protest the summoning of Qayoom.
The lawyers said the strike would continue tomorrow as well.
They alleged the National Investigation Agency summoned Qayoom to "prevent him from pleading a case in the Supreme Court on the use of pellet guns on protesters in the Valley and to stop him from preparing a case against the challenge to Article 35A of the Constitution, which is pending before the apex court".
"The association would move the J&K High Court against the NIA if Qayoom was not treated with respect and dealt with in contravention of the law," its general secretary Bashir Sidiq said.