The operators say that the move is in response to a documentary broadcast by the channel, entitled Secret Pakistan.
Other foreign TV channels found guilty of broadcasting “anti-Pakistan” content will also be blocked.
The two-part BBC documentary questioned the country’s commitment to tackling Taliban militancy.
It argued that some in Pakistan were playing a double game, quoting US intelligence officials as saying that they acted as America’s ally in public while secretly training and arming the Taliban in Afghanistan.
The decision to block BBC World News and other international news channels comes after a media uproar in Pakistan over a Nato air strike that killed 24 Pakistani troops near the Afghan border at the weekend.
The All Pakistan Cable Operators Association announced on Tuesday that all foreign news channels airing “anti-Pakistan” content would be barred from Wednesday.