You have the option to turn on or off the private Message button on your Facebook Business Page. If the button is turned on, you see it on the Page. If the button is turned off, you won’t see it. This can be a helpful addition to your business page.
This Message button functions just like a Private Message on your personal account. Your Page can receive private messages, too. You can think of Messages as a kind of e-mail inbox. This will give your customers the opportunity to contact you in a private forum if they have questions they don’t feel comfortable posting publicly. That’s the way Facebook wants you to look at Page Messages.
To turn on the Message button on your Page, follow these steps:
Click Edit Page in the Admin panel.
Select Update Info.
Choose Manage Permissions from the left menu.
Click the Messages check box to activate the Message button on your Page.
Click Save Changes.
When you have the Message button turned on, you need to check the Messages section of your Admin panel regularly. Reply to messages just as you reply to e-mails.