In this paper, a dual-band Frequency Selective Surface (FSS) absorber is presented for Wireless Local Area Network (W LAN) security. The FSS absorber is designed for two frequencies of interest, i.e., 2.45 GHz (lo wer band) and 5.25 GHz (upper band), respectively. FSS design consists of two layers; first layer consists of conducting square-loop elements while second layer consists of resistive square-loop elements, placed in-front of a conducting FSS layer. The proposed FSS design provides good frequency stability for oblique incidences for perpendicular (TE) and parallel (TM ) polarizations. It provides better absorption rate for 2.45 GHz and 5.25 GHz frequency bands and allow the t ransmission of other microwave frequencies. Also, the proposed FSS design reduces multipath fading of additional WLAN signals which occurred due to the placement of conducting FSS layer. Presented results demonstrate that the proposed FSS design has a stable frequency response for the desired frequency bands for TE and TM polarizations with good absorption rate when the incident wave angle varied fro m 0 0 to 45 0 .