Target confirms the offer via DSi product listing. UPDATED! Added details on Australian DSi offer.
A recent Target.com listing confirms that DSi owners will receive 1000 free DSi points upon their first visit to the DSi Shop. In Japan, Nintendo offered the same promotion.
The official Target.com listing description is available below.
The Nintendo DSi is a high-powered handheld video game system with a sleek, folding design and is loaded with features like touch screen control for a unique gaming experience. Snap photos with the built-in camera; edit and send them to friends, playback your music with Nintendo DSi sound or browse the Internet with the Nintendo DSi browser. From playing games to just playing around, the Nintendo DSi does it all. Includes the Nintendo DSi system, the Nintendo DSi AC adapter, 2 Nintendo DSi styli, an easy-start guide, manuals (basic and control) and a support booklet. Free downloadable games from Nintendo DSi Shop included with the purchase of a Nintendo DSi system. Upon initial access to Nintendo DSi Shop, 1,000 Nintendo DSi Points will be credited to your account, which you can then use to download your free Nintendo DSi-exclusive games and applications. Wireless broadband connection and acceptance of user agreement required. Nintendo DSi Shop must be accessed to receive free points. Limited time offer. For full details, please visit DsiOffer.Nintendo.com.
UPDATE: According to Vooks it has been confirmed that Australian DSis will also feature the same 1000 DSi Point offer available in North America and Japan. Vooks has also confirmed that 1000 Nintendo Point Cards will be available for $17.95(AUD).