"We are in a state of war. Yes, we have busted this terror cell but there are other cells we are going to strike," Sheikh Mohammad Khaled Al-Sabah told parliament during a special debate on Friday's bombing.
He said the emirate has revised "all security measures, especially around mosques and all places of worship".
A Saudi suicide bomber blew himself up in a Shiite mosque in Kuwait City during Friday noon prayers, killing 26 people and wounding 227.
Justice and Islamic Affairs Minister Yacoub al-Sane told parliament that the supreme judicial council has decided to create a special court to try the suspects in the case.
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"This is accelerate the process of their trial but without ignoring the procedures required under the law," the minister said.
The Islamic State group's Saudi affiliate, the so-called Najd Province, claimed the bombing and identified the assailant as Abu Suleiman al-Muwahhid.
He entered the country through Kuwait Airport at dawn on the day of the bombing.
Saudi Arabia's interior ministry, meanwhile, said it has no records of the bomber who flew to Kuwait via Bahrain.