Releasing details of the event on October 12, a palace spokesman said the service would take place at Windsor Castle's St George's Chapel at 11am.
The public will be able to see them on the High Street, Castle Hill and Park Street.s Eugenie, 28, and her 32-year-old fiance, an alcohol brand ambassador.
Unlike Harry and Meghan, who rode in an Ascot Landau carriage, Eugenie and Mr Brooksbank will not travel along the Long Walk.
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This "echoes" the journey taken by Eugenie's uncle, Prince Edward, when he married Sophie Rhys-Jones, now the Countess of Wessex, in 1999.
Meanwhile, the Queen has agreed for the grounds of Windsor Castle to be opened to those wishing to join the celebrations with 1,200 members of the public being invited to join them on the day.
The palace said it had received more than 100,000 applications and that invitations had been posted to the lucky group chosen.
More than 800 guests can be accommodated inside the medieval St George's Chapel.
It has also been confirmed that, as with Prince Harry's wedding, representatives of charities and organisations supported by the couple, including the Royal National Orthopaedic Hospital, the Teenage Cancer Trust, the Salvation Army and the UN Trust Fund to End Violence Against Women, will also be present within the grounds.
The Dean of Windsor David Conner will officiate at the wedding, with the Archbishop of York, John Sentamu, leading the prayers.
Prince Eugenie's father Prince Andrew is the Duke of York, and she is officially known as Her Royal Highness Princess Eugenie of York. She is ninth-in-line to the throne.
Following the carriage procession, the Queen will give a Reception at Windsor Castle for the couple and their wedding guests.