A member covered with a hard coating according to the present invention has a hard coating which has excellent erosion resistance, a hardness (H) of 20 GPa or more as measured using a nano indenter and a ratio of the hardness (H) to a Young's modulus (E) (i.e., H/E) of 0.06 or more, and comprises Ti and/or Cr, Al and N, wherein the total amount of Ti and Cr relative to the total amount of elements other than non-metal elements in the coating is 0.1 to 0.6 inclusive in terms of atomic ratio and the amount of Al relative to the total amount of the elements other than the non-metal elements in the coating is 0.4 to 0.7 inclusive in terms of atomic ratio.