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A novel dual-wideband complementary patch antenna with a dual-layer cross-magneto-electric (ME)-dipole structure is proposed for 2G/3G/LTE/WLAN applications. In order to provide dual-wideband and complementary characteristics, an inverted U-shaped feeding structure is introduced to feed dual-layer cross-ME-dipole patches. The upper-layer cross-ME-dipole patches mainly serve the upper frequency band, while the lower-layer ones chiefly work for the lower frequency band. In addition, hook-shaped patches are placed on the corner of upper-layer electric dipoles to broaden the impedance bandwidth of the upper frequency band. Moreover, a box-shaped reflector is employed to attain high and stable gain. The prototype antenna can offer an impedance bandwidth of 51.3% (1.68-2.84 GHz) with a stable gain of dBi, and an impedance bandwidth of 11.4% (5.31-5.95 GHz) with a gain of dBi for the lower and upper bands, respectively. Hence, it can be suitable for 2G/3G/LTE/WLAN base-station communications.Index Terms-Complementary antenna, cross-magneto-electric (ME)-dipole, dual-layer structure, dual-wideband antenna.