You can turn off the option to Show guest list to keep the guest list private. This button will show as blue if the guest list is public to all guests and gray when it is private and only visible to the host:
When you turn on the Show Guest List option, you'll be able to select which guests, based on RSVP status, you would like shown: Attending, Not Yet Replied, and/or Not Attending. Check the box next to each status that you would like visible.
To open your guest list settings, select the Details icon from your Create/Edit page or select the RSVP Options icon from the Manage page:
How will my guest list appear on the event page?
If you have the Show Guest List option turned on, your Guest list will display at the bottom of your Event Page, under your other details: