Stones were thrown at the al Bahama mosque shattering its glass windows, Gulf News in Dubai, United Arab Emirates reported.
Kuwaiti media sources said police are using road surveillance cameras and speed radar data to try to identify the assailants, Gulf News reported.
"We all condemn the criminals who attacked the mosque in an attempt to desecrate it. They are obviously trying to sow the seeds of sedition in Kuwaiti society and elsewhere. They must be defeated because countries cannot prosper if their evil schemes are not addressed. We do need strong political, social and legal action to foil all their attempts," said Member of Parliament Nasser al Shammari.
MP Ahmad Lari, noting the mosque has been targeted in the past, said "It is clear that the repeated assaults on this mosque are carried out by a sick mind that does not uphold the genuine values of Islam. All Kuwaitis, regardless of their backgrounds, condemn these attacks and will remain united in confronting these evil actions."
MP Faisal Al Duwaisan said Sheikh Ahmad Al Humood, the interior minister, should catch the perpetrators or resign.
MP Safa Al Hashim said, "You should resign and Kuwait will always recall your moral courage. Security problems on your watch have gone way beyond what had been expected."
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