The woman was arrested by officers from the Metropolitan Police's SO15 Counter Terrorism Command in Bedfordshire, reported BBC.
She has been taken to a police station in London for interrogation, police added.
Her two addresses in Bedfordshire are now being searched, police said adding that the investigation "is related to Syria."
The arrest of the woman comes a week after six people were arrested by British police in a counter-terrorism operation linked to the on-going civil war in Syria and Iraq.