A novel hollow dual-band hollow dielectric antenna is presented in this paper. The antenna operates in 2.4 GHz and 24 GHz bands with a frequency ratio of about 1:10. It consists of a dielectric resonator (DR) antenna (DRA) in the lower band and a Fabry-Perot resonator (FPR) antenna (FPRA) in the upper band by creating a hollow region through DRA. The antenna is excited by a vertical strip to DR at 2.4 GHz, and the upper frequency is fed by a rectangular waveguide. The proposed dual-band DRA-FPRA has - 10dB bandwidths of 2.30-3.14 GHz (35%) and 23.60-24.82 GHz (5.1%), with maximum gains of 8.34 dBi (at 2.94 GHz) and 15.42 dBi (at 24.1 GHz), respectively. By integrating DRA with FPRA, the performance of DRA is not affected.