Chainfire's CF-Auto-Root has been modded to include an easy root for the just outed Samsung Galaxy Note 3, tested with the SM-N900 (Exynos), SM-N9005 (International Qualcomm), and SM-N900T (T-Mobile US) versions of the handset so far, as well as a few files for the rest of the US carrier versions that are still in testing...
Source: http://www.phonearena.com/news/How-to-root-Samsung-Galaxy-Note-3-the-easy-way_id47986
Source: http://www.phonearena.com/news/How-to-root-Samsung-Galaxy-Note-3-the-easy-way_id47986