The QiTai radio Telescope（QTT） has completed the conceptual design phase and several key-point researches in the next phase have already begun. Analyses show that the antenna meets the requirements for electrical performance and pointing accuracy specified in the objectives of the phase with highest degree. However, several challenges for structure design remain. In this paper, we will outline the challenges in antenna structure design including antenna weight vs. stiffness, reflector and alidade connecting, reflector surface dividing, actuator, azimuth track, etc. and discuss current progress on resolving these issues.