Hardness and elastic modulus of the icosahedral quasicrystal Al70Pd21Mn9 (in the following simply denoted as AlPdMn) have been probed by micro‐ and nanoindentation in the temperature range from room temperature to 820 K. Pronounced indentation size effects (ISE) were found that result in a hardness increase with decreasing force at room temperature and in the inverse behaviour for elevated temperatures. Furthermore, considerable indentation creep was observed for temperatures above 670 K. Atomic force microscopy (AFM) was utilised to both quantify the impression contact area and to study the development of surface modifications and crack propagation around the indents. The elastic modulus exhibits a linear decrease with raising temperature which is considerably smaller than observed for metals, but somewhat higher than in case of elemental semiconductors.