To study the property of quantum radar cross section (QRCS) of curved surface target, the probability wave functions of single-photon and two-photon are introduced according to the quantum description of interaction between photon and mirror matter, and the cylinder surface is used as the simulation model. The QRCS analytical expressions of single-photon and two-photon are deduced on the basis of the definition of classical radar cross section (CRCS), and the QRCS definition of multiple photons is extended and derived. The different physical natures and mutual relationships between QRCS and CRCS are also analyzed. Simulation results show that the two-photon QRCS is aberrant in millimeter wave band under different incident angles, and the single-photon QRCS has better performance. Compared with CRCS, QRCS has higher main-to-sidelobe ratio.