Surface roughness having intervals of several tens of nanometers to about a hundred micrometers in a solid surface is reduced by directing a gas cluster ion beam to the surface. An angle formed between the normal to the solid surface and the gas cluster ion beam is referred to as an irradiation angle, and an irradiation angle at which the distance of interaction between the solid and the cluster colliding with the solid dramatically increases is referred to as a critical angle. A solid surface smoothing method includes an irradiation step of directing the gas cluster ion beam onto the solid surface at an irradiation angle not smaller than the critical angle. The critical angle is 70°.