It's after the walls of the Department for Energy and Climate Change were covered in white paint during a protest in November last year.
Christian Climate Action is encouraging its supporters to gather in front of Hammersmith Magistrates Court to pray ahead of the trial.
The group says there will be short vigils on the hour and half hour outside court throughout the day.
It's unclear how the five will plead.
The accusations relate to a protest held outside the Department for Energy and Climate Change in London on the first day of the Paris climate conference in November of last year.
Five people were arrested by Met Police and charged with criminal damage.