Dean Davenport’s Palace side impressed in beating Watford 5-1 in the third round on Sunday, with goals from Hollie Olding, Annabel Blanchard (two), Polly Doran and Elise Hughes.
Palace will now travel to take on fellow Women’s Championship outfit Durham at Maiden Castle on Sunday, 29th January. Kick-off will be at 12:00 GMT.
Palace Women last reached the fifth round of the FA Cup in 20/21, defeating London Bees before falling to eventual finalists Arsenal.
The fixture adds to a busy January schedule for Palace Women, whose next home game is also against Durham, this time in the Women's Championship.
That match will take place at Hayes Lane on Sunday, 12th February at 12:00 GMT.
Tickets for are available for that game from £5* for Season Ticket holders and Members, and can be purchased here.
Please note that ticket prices will increase on match day for purchases made online and at the stadium.