LONDON—News Corp. Chairman and Chief Executive Rupert Murdoch, his son James and another top executive have been asked to appear before a U.K. parliamentary committee to answer questions on the phone-hacking scandal.

Parliament's Culture, Media and Sport Committee has asked News Corp. deputy chief operating officer James Murdoch and Rebekah Brooks, chief executive of News International, News Corp.'s U.K. newspaper unit, to appear along with Rupert Murdoch at a hearing that could be as early as next week. No date had been agreed...