Hackers, reported to be associated with the Russian government, were calling themselves "Fancy Bears" , a trolling reference to the Games' mascots.
England players and staff have been advised not to use public Wi-Fi in Russia, including the connections provided at the team hotel.
The governing body of global athletics (IAAF) said on Monday it had suffered a suspected Russian cyber attack which it believes has compromised information about athletes' medical records.
The governing body of track and field IAAF has been hacked by Fancy Bears, the group that previously attacked the World Anti-Doping Agency.
A leaked United States Anti-Doping Agency report has suggested that Mo Farah's coach Alberto Salazar had "almost certainly" broken anti-doping rules.
Leaked records from a raft of sports stars have highlighted the use by many of therapeutic use exemptions (TUE), blasted by hackers as licences for doping but hailed by athletes as essential medical care.
Rafael Nadal and British Olympian Mo Farah said they have nothing to hide after their medical records were the latest to be leaked by a cyber-hacking group.
Venus Williams voiced dismay after Russian hackers who broke into the World Anti-Doping Agency database released details of her confidential medical records.
A Russian hacking group has alleged that Serena and Venus Williams and Simone Biles were allowed to consume banned substances by WADA after claiming to have accessed its database.