The Nintendo DS (all models) has **no external Wi-Fi ports**. It uses an **internal 802.11b Wi-Fi radio** (DS Phat/Lite) or **802.11b/g** (DSi/3DS family) soldered to the motherboard.
No USB/Ethernet dongle works. The DS has no host USB port (only client for Nintendo Wi-Fi USB Connector — discontinued, WinXP only).