The Law Commission says that in the digital age courts should have the power to issue take down orders for material on the internet that breaches suppression orders.
The commission has just released its report on modernising New Zealand's out of date contempt of court laws.
Justice Minister Amy Adams says they're vague and were developed in 1990.
"The Law Commission report recommends putting most contempt law into statute, so it's easier to find and understand," she said.
"The report also proposes giving courts the power to make take down notices for material on the internet and social media platforms that breach suppression orders."
The Government will consider the recommendations.