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Several government websites in the US states of Ohio and Maryland had to be shut down on Sunday after being hacked to display messages supporting the Islamic State group.

Posted on the websites, which also included one belonging to Ohio Governor John Kasich, was a message from a group calling itself Team System DZ, vowing revenge against US President Donald Trump.

"You will be held accountable Trump, you and all your people for every drop of blood flowing in Muslim countries," it read, adding: "I Love Islamic state."

The messages were written in gold lettering against a black backdrop.

The hacked websites also displayed the Muslim profession of faith written in white lettering in Arabic, proclaiming that "there is no god but Allah and Muhammad is the prophet of Allah."

The message posted on Kasich's website also played an Islamic call to prayer.

A website for Howard County, Maryland, several miles outside Washington DC, was also affected.

Some of the websites remained out of service early on Monday, while Kasich's site was back up and running after being taken offline on Sunday.

The United States has led an international coalition battling the Islamic State group in Iraq and Syria, the militant group has lost swathes of land it captured in 2014.