Asymmetric transmission plays an important role in many electromagnetic systems. Different to the asymmetric transmissions in full space, angular-asymmetric transmissions in half space support different characteristics for symmetrical oblique incidences, which has great potentials for antenna designs and wireless systems. By introducing guided wave modes and resonant coupling effect into metasurface design, this paper designs and demonstrates a dual band multi-functional metasurface with angular-asymmetric transmission and frequency selection under oblique incidences. At 8.7 GHz, the electromagnetic wave under 30° TM oblique incidence is absorbed, and the wave under -30° TM oblique incidence transmits, which presents an angular-asymmetric transmission. At 10.4GHz, both ±30° TM oblique incident waves can be transmitted, which presents a frequency selection function. The metasurface sample with optimized geometry parameters has been fabricated and measured, and the measurement agree well with the simulation results.