Two women and a man were arrested in Westminster on July 5 and have been charged under section 13 of the Terrorism Act 2000, following authorisation by the Crown Prosecution Service.
The three people are: Jeremy Shippam, 71, of West Sussex, Judit Murray, 71, of Surrey and Fiona Maclean, 53, of Hackney.
They are due to appear at Westminster Magistrates' Court on Tuesday, 16 September.
Commander Dominic Murphy, head of the Met's Counter Terrorism Command, said: "Anyone who displays public support for Palestine Action, a proscribed organisation, is committing an offence under the Terrorism Act and can expect to be arrested and, as these charges show, will be investigated to the full extent of the law.
"These charges relate to three people arrested in central London on July 5.
"We are als