The social media site says it is taking action to limit behaviour that could lead to “offline harm”.
The suspensions are expected to affect about 150,000 accounts worldwide. More than 7,000 accounts have been removed in recent weeks for violations, Twitter said.
QAnon supporters have been linked to numerous other false claims that have spread online, including a bizarre conspiracy theory involving a US furniture company and allegations of child trafficking.
QAnon followed on from the “pizzagate” saga in 2016 – a fake theory about Democratic Party politicians running a paedophile ring out of a Washington pizza restaurant.
QAnon began in October 2017 on the anonymous message board 4chan