Wireless Generation makes web-based software that helps teachers track the progress of students and tailors individual teaching.
New Corporation did not disclose whether the deal would prompt redundancies at the company.
Murdoch, chief executive and chairman of News Corporation, said: "Wireless Generation is at the forefront of individualized, technology-based learning that is poised to revolutionize public education for a new generation of students."
He is on record as wanting to see improvements in public schools.
In September this year, The Observer reported that Murdoch’s UK national newspaper operation, which included The Sunday Times and The Sun, was drawing up plans to sponsor an academy school in east London.