A broadband dual-polarized magnetoelectric (ME) dipole filtering antenna is investigated in this letter. The antenna is composed of radiation patches, vertical shorting patches, feed microstrip lines and a ground plane. By properly changing the length of the feeding microstrip line, a radiation null is generated at upper passband edge. On the other hand, by nesting a parasitic patch inside the radiation patch, another radiation null is introduced into the upper passband edge successfully. The utilization of the inherent lower passband edge radiation null of ME-dipole and the introduction of the aforementioned two radiation nulls make the antenna obtain a good filtering response. For verification, a prototype is designed, fabricated, and relevant measurements are obtained, which agree well with the simulated ones. The measured results show that the antenna achieves a relative bandwidth of 71.4% (2.7-5.7 GHz) and the out of band rejection level is higher than 13.36 dB. Moreover, the antenna has a peak-realized gain of 8.43 dBi and stable radiation patterns are obtained in the whole passband.