Kuwait was suspended in October for the second time in five years over government interference in the country's Olympic Committee.
The sports ministry has also ordered the Olympic Council of Asia (OCA) to vacate its headquarters in Kuwait by April 2016. The head of the OCA is Kuwaiti Sheikh Ahmad Al-Fahad Al-Sabah, an influential IOC member.
Kuwaiti media reported on Saturday that a court had handed out a six-month suspended prison sentence to Sheikh Ahmad al-Fahad al-Sabah, a senior member of the ruling family and a powerbroker in international sport, for quoting remarks by the country's ruler without permission.
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The Gulf Arab state's constitution describes Emir Sheikh Sabah al-Ahmad al-Sabah as "immune and inviolable". Quoting him without permission from his court is punishable under Kuwaiti law.
Bach, attending a meeting to celebrate the 120th anniversary of the Hungarian Olympic Committee, said the prison sentence was a separate issue from the sports law.
"This is justice in Kuwait, it's nothing to do with the sports law or sport," Bach told a news conference.
"The IOC will respect the law of a sovereign country."
But he said the law which led to Kuwait's ban needed to be changed.
"We will insist on our worry that the sports law is in compliance. I think this is also in the interest of the Kuwait authorities and the Kuwaiti athletes to ensure this compliance and not forcing their other federations to escalate the issue.
"They have to come to the table," Bach said.
"The IOC has always made it clear it is ready to address the various stipulations of the law that need to be changed."
(Editing by Ed Osmond)
