Whether you need to set up file sharing or are just curious, you can find the name of your Mac computer. Each Mac computer's name identifies it on a network. When you use services such as Apple's Bonjour, your computer becomes an available resource to anyone connected to the local network. To use the computer, you must know its name.
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Click the Apple logo in the top left corner of your Mac's screen.
Click "System Preferences" from the menu that drops down.
Click "Sharing" in the Internet & Network section of the System Preferences screen.
Find the name of your Mac computer in the Computer Name section of the Sharing screen.