The arrests were carried out in a joint operation by the Met’s Counter Terrorism Command (SO15) and the Eastern Counter Terrorism and Intelligence Unit (ECTIU).
The men - who are all in their 30s - have been arrested on suspicion of being involved in the commission, preparation and instigation of acts of terrorism. They have been taken into custody at a London police station.
Searches are being conducted at seven separate addresses in Luton in connection with this investigation. A number of vehicles are also being searched.
A spokesman for the Met Police said: “Today’s activity is part of an ongoing proactive investigation concerning individuals in the Luton area. It is not connected to the recent attacks in Paris.
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“We are not able to give further information at this time.”