Armed officers joined those from the counter terrorism command when the arrests were made at about 4am.
Police say the operation was not linked to the Olympics.
A 38-year-old woman was also arrested for alleged fraud offences and two other men were held over alleged immigration offences.
More top news
Another freezing, frosty and icy night ahead but this will be followed by a dry and sunny day for most tomorrow.
Phone hacking was "rife" at the Daily and Sunday Mirror newspapers and the People by mid-1999 at the latest, the High Court has heard.
Free banking may be a myth but it is one we are attached to - Barclays said they would like to charge for current accounts but could not.