Wireless local area networks (WLANs), like IEEE 802.11, are right now very common in numerous outdoor or indoor environments for providing wireless communication among WiFi-enabled devices by accessing an Access Point (infrastructure mode) or through peer to peer connections (ad hoc mode). Authentication is one among the most primary research challenges for the realization of the envisioned mobile and wireless Internet. This is mainly due to the latency delay introduced during the authentication process, which are of major concern for real-time applications and media streaming application. In the same way, it is also crucial for WLANs to authenticate clients and build secure channels with them. In the historical researches, the traditional authentication mechanisms frequently adopted the names and passwords of clients as login authentication. However, these Single Factor Authentication mechanisms are proved to be defective. In virtue of enhancing security, recent researches on authentication are built on Two-Factor authentication schemes. In this paper, the authors proposed a two factor, lightweight RFID authentication scheme based on elliptic curve cryptography (ECC) for WLAN. The analytic comparison demonstrates the research not just reduces the expense of proposed authentication schemes, yet gives security similarly as smart card technology. In addition, the performance of the proposed authentication scheme will analyze in terms of computational cost, communications cost, and storage cost.