In this paper, a dual-band implantable antenna for wireless medical telemetry applications is designed. It supports both wireless information communication and wireless energy transmission at the MICS (Medical Implant Communications Service; 402-405 MHz) and the ISM (Industrial, Scientific and Medical; 2.40-2.48 GHz) bands. Numerical analysis of the implant antenna is carried out using High Frequency Structure Simulator (HFSS) software. The effects of human body and different tissues on the resonant frequencies in the MICS and ISM, and the reflection coefficient magnitude at these frequencies are considered in this study. Results have clearly indicated that the human body has notably shifts the antenna resonant frequency and modifies the radiation pattern at the frequency investigated. The dual-band antenna has a bandwidth of 9.45% at 403 MHz and 11.4% at 2.45 GHz in MICS and ISM bands, respectively.