The 23-year-old woman arrested on Thursday, 20 April, by the Met's Counter Terrorism Command (SO15) has since been released from police custody whilst the investigation continues.
She was arrested at an address in north London on suspicion of preparing for acts of terrorism as part of a joint investigation with the Belgian Federal Police into facilitating travel to Syria.
She was detained under the Police and Criminal Evidence Act (PACE).
Officers have now completed searching two residential addresses in east London and a residential address in north London.
Enquiries remain ongoing.