Two of the men, aged 19 and 20, were arrested at an address in west London as part of a pre-planned, intelligence- led investigation by Scotland Yard's Counter Terrorism Command, supported by the South East Counter Terrorism Unit.
"They were arrested on suspicion of preparation of terrorist acts under Section 5 of the Terrorism Act 2006," a Metropolitan Police statement said.
The 20-year-old was held on suspicion of funding of terrorism and failure to disclose information regarding an act of terrorism under Section 16 and Section 36B of the Terrorism Act 2000.
Officers are currently searching a number of addresses and vehicles in the west London, south-east London and Thames Valley area.
All three men, who are from London, remain in police custody as inquiries are ongoing.
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