Hawking, 71, has suffered from motor neurone disease for the past 50 years, and relies on a computer-based system to communicate.
According to Shurat HaDin, an Israel law centre which represents victims of terrorism, the equipment has been provided by the hi-tech firm, Intel, since 1997.
"Hawking's decision to join the boycott of Israel is quite hypocritical for an individual who prides himself on his whole intellectual accomplishment. His whole computer-based communications system runs on a chip designed by Israel's Intel team. I suggest if he truly wants to pull out of Israel he should also pull out his Intel Core i7 from his tablet," said Nitsana Darshan-Leitner of Shurat HaDin.
Intel could not be reached for comment, but their website quotes Justin Rattner, chief technology officer, as saying earlier this year: "We have a long-standing relationship with Professor Hawking." He added: "We are very pleased to continue to … work closely with Professor Hawking on improving his personal communication system."
Cambridge University declined to comment on allegations of hypocrisy regarding Hawking's communications system.