Murdoch was praising Republican presidential candidate Ben Carson and his wife on Twitter last evening when he wrote: "Ben and Candy Carson terrific. What about a real black President who can properly address the racial divide?"
Later, Murdoch recommended a New York magazine article asking whether Obama has done enough for the African-American community.
Murdoch is the founder of Fox News Channel, and News Corp's publications include The New York Post and The Wall Street Journal.
The 84-year-old Murdoch has praised Carson on Twitter before, calling him "irreproachable on background, achievements, character, vision.