The 50-year-old man is an employee of Revenue and Customs and has been arrested on suspicion of misconduct in a public office, and on suspicion of corruption.
The woman, who is 43, was addressed at the same address on suspicion of aiding and abetting misconduct in a public office and for alleged money-laundering offences.
The pair were arrested at around 6:00 am by officers working for Operation Elveden. They are being questioned in a central London police station.
Operation Elveden was launched after police were handed documents in June 2010, suggesting News International journalists had made illegal payments to police and government officers.
The arrests follow information provided to police by News Corporation's management standards committee (MSC).
It brings the total number of arrests in this investigation to 29, the BBC reported.
Rebekah Brooks, the former chief executive of Murdoch's British newspaper wing News International, today became one of the first people to be charged under the linked probe.
The MSC was set up in the wake of the phone-hacking scandal that led to the closure of media baron Rupert Murdoch's News of the World tabloid in July 2011.
The MSC is carrying out internal investigations relating to Murdoch's remaining UK papers
