The tweet on Monday evening appeared to refer to an article in Hong Kong's South China Morning Post newspaper.
"The CCTV News Twitter account was targeted on October 21 and used illegally to post incorrect information copied from other sources," CCTV said through its English-language Twitter account. "The unauthorised information was deleted."
CCTV spokeswoman Zhang Xiaojian confirmed that one of the broadcaster's Twitter accounts was hacked, but did not elaborate.
China, which is often accused of orchestrating hacking attacks, says it is one of the world's biggest victims of such activity.
"President Xi Jinping has set up a special unit to investigate corruption allegations against the retired leader Zhou Yongkang," read the deleted tweet, according to a screen grab on freeweibo.com, which is run by an anti-censorship site, greatfire.org.
Overseas media, including the South China Morning Post, had said Zhou was being investigated for corruption. Sources told Reuters last month he was helping in a graft probe, rather than being targeted himself.
Zhou retired as security tsar and from the Communist Party's all-powerful Politburo Standing Committee during a sweeping leadership reshuffle last November.
Xi has identified corruption as a threat to the survival of the ruling Communist Party, and has promised to crack down on both high-flying "tigers" and lowly "flies."
Though Twitter is blocked in China, some state media have set up accounts in an apparent bid to reach foreign audiences.
The CCTV Twitter account has only about 2,480 followers, in contrast to the 9.9 million followers of its main account on Sina Weibo, China's version of Twitter.
The tweet rippled across Weibo in a matter of minutes, as some Chinese are able to skirt censorship and access Twitter, with many microbloggers expressing surprise and making fun of "Master Kang", as Zhou is nicknamed.
© Thomson Reuters 2013