This follows the petition submitted by the Movement for Quality government, which claims that the Justice Minister refuses to convene the Judicial Selection Committee.
According to his agenda, the justice minister intended for the committee to discuss sub-committees within it and determine rules for the committee's procedure.
Without new judges being appointed, Israel was on track to be short more than 50 judges by the end of next month.
The High Court is missing two justices after former chief justice Esther Hayut and former Justice Anat Baron retired last month.
It was decided that the ceremony would be a muted affair, with no speakers from outside the judiciary - and not just Justice Minister Yariv Levin.
NATIONAL AFFAIRS: May the questions over Israeli democracy and social divisions stay in 5783.
Karhi’s draft would separate the High Court of Justice from the Supreme Court, and endow it the power to engage in judicial review of regular and basic laws.
The hearing was set for Tuesday but will be delayed until a date no later than October 23.
The justice minister has refused to convene the Judicial Selection Committee until the section of the judicial reform that changes its makeup is passed.
"This is precisely the moment in which our political leadership must feign daring and responsibility and break us out of this crisis," Herzog said.
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