yes it will
these are the requirements
Operating System: Microsoft Windows 98, Microsoft Windows Second Edition, Microsoft Windows Millennium Edition (Me), Microsoft Windows 2000, or Microsoft Windows XP.
Computer/Processor: 733 megahertz (MHz) processor.
DirectX: DirectX® 9.0 or later. (DirectX 9.0b is installed by Halo.)
Memory: 128 megabytes (MB) of RAM.
Hard Disk: 1.2 gigabytes (GB) of free hard disk space.
Video card: 32 MB with 3D Transform and Lighting capable.
CD: 8X.
Sound: Sound card, speakers, or headphones with multiplayer play.
*56.6 Kilobytes per second (KBps) modem or 10 MB network adapter. Multiplayer servers require broadband to run a server.
*Additionally, you must have an Internet Service provider (ISP) or a Local Area Network (LAN), if you want to play multi-player game
