Both men were arrested in London last week
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Two men are due to appear in Bow Street Magistrates' Court in connection with an investigation into an international terrorist plot.
A 21-year-old Bradford man, who was arrested last week, faces charges of conspiracy to murder and causing public nuisance with poison or explosives.
And a 28-year-old man, from London, is accused of separate offences under the Terrorism Act 2000.
The men were arrested in London on Monday and Tuesday last week.
The man from London was charged under section 57 of the act as part of a separate inquiry.
Police have said the arrests were not linked to the Forest Gate raid in east London or the 7 July attacks last year.
A 29-year-old man from south-east London was released without charge, police said.