Gunshots were heard in the city shortly after 10.30am, local time near the Cafe des Augustins.
"Two officers were hit and then the man went on the run," said a local source.
"He was seen running into the Waha secondary school, where he was said to have taken a female cleaner hostage."
Minutes later, anti-terrorist special forces police could be seen surrounding the area, which went into lock down.
"The gunman was then neutralised," said the source.
Belgium's anti-terrorist crisis centre was monitoring the situation, Interior Minister Jan Jambon said on Twitter.
It was unclear, however, what lay behind the incident.
Two other police officers had been injured, Belga news agency said.
Images on social media showed people scurrying for safety on Liege's central boulevard d'Avroy with shots and sirens being heard in the background. One video showed two police in body armour moving into position.
Liege, an industrial city close to the German border in the French-speaking Wallonia region, was also the scene of a shooting in 2011, when a gunman killed four people and wounded over 100 before turning the gun on himself.
Belgium has been on high alert since a Brussels-based Islamic State cell was involved in attacks on Paris in 2015 that killed 130 people and Brussels in 2016 in which 32 died.
More to follow…
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