In this article, a new modified cross-shaped coupled cubical dielectric resonator antenna (DRA) has been investigated for dual-band dual-polarized applications. The linearly polarized (LP) fields in DRA has been generated by using a single slot in the ground plane and kept at either 45° (SL1) or −45° (SL2) from the microstrip feed line. Combining these two slots (SL1 and SL2) in the modified ground plane, the proposed structure able to generate circularly polarized (CP) field in DRA. But the generated CP field is not enough to cover ISM 2400 band. To achieve CP in ISM 2400 band, an extra slot (SL3) to the existing slots and an extra strip (ST) in the circular ring feed line have been included. This modified final antenna arrangement has been able to produce LP (due to loading effect, ie, slot and DRA) and CP fields (orthogonal modes have been generated, ie, TEx 111 and TEy 111), simultaneously. The measured CP and LP, −10 dB impedance bandwidths are 11.85% (2.38-2.68 GHz) and 9.11% (3.25-3.56 GHz) in combination with the 3-dB axial ratio bandwidth of 4.11% (2.38-2.48 GHz). The generated CP and LP fields are used for different wireless communication bands such as ISM 2400 and Wi-MAX (3.3-3.7 GHz) bands. © 2018 Wiley Periodicals, Inc.