Born in Changzhou,[3] Jiangsu Province, Zhou has competed twice (2000, 2002) in the Chinese national team in the World Youth U16 Chess Olympiad with playing record of 19 games (+11, =3, −5).
[5] In May 2008, he came joint first on points (8/11) and second on tie-break at the 2nd Philippine International Open in Subic Bay Freeport Zone.
He came joint first on 7/9 points (+5=4–0; 2704 performance)[9] and second on tiebreak[10] at the 17th Chigorin Memorial, held from 14 to 25 October 2009 at Holiday Inn Moskovskie Vorota hotel in Saint Petersburg, Russia.
[11] In 2010 Zhou Weiqi won the 7th IGB Dato' Arthur Tan Malaysia Open in Kuala Lumpur.
[12] In 2015 he won the Premier section of the Doeberl Cup in Canberra, Australia.