The New Zealand Police said on Friday that it was probing death threats sent to Prime Minister on social media.
The post had been up for more than 48 hours before the sender's Twitter account was suspended before 4 p.m. after it was reported by various people.
Another post tagged to Ardern and the New Zealand Police had the same photo with "next it's you".
The suspended account contained anti-Islamic content and white supremacist hate speech.
A police spokesperson told The New Zealand Herald: "Police are aware of a comment made on Twitter and are making enquiries."
A Twitter spokesperson said the micro-blogging site's rules prohibit violent threats.
"We took action shortly after we received the first report on this tweet, and our teams continue to work pro-actively to remove violative and illegal content from the service in relation to the Christchurch attack.
"We also continue to cooperate with law enforcement to facilitate their investigations as required," the spokesperson said.
The development come a week after 50 people were killed on March 15 by a lone gunman who went on a shooting spree at two mosques in Christchurch.
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