There are provided a method and an apparatus which form silicon dots having substantially uniform particle diameters and exhibiting a substantially uniform density distribution directly on a substrate at a low temperature. A hydrogen gas (or a hydrogen gas and a silane-containing gas) is supplied into a vacuum chamber (1) provided with a silicon sputter target (e.g., target 30), or the hydrogen gas and the silane-containing gas are supplied into the chamber (1) without arranging the silicon sputter target therein, a high-frequency power is applied to the gas(es) so that plasma is generated such that a ratio (Si(288 nm)/Hβ) between an emission intensity Si(288 nm) of silicon atoms at a wavelength of 288 nm and an emission intensity Hβ of hydrogen atoms at a wavelength of 484 nm in plasma emission is 10.0 or lower, and preferably 3.0 or lower, or 0.5 or lower, and silicon dots (SiD) having particle diameters of 20 nm or lower, or 10 nm or lower are formed directly on the substrate (S) at a low temperature of 500 deg. C. or lower in the plasma (and with chemical sputtering if a silicon sputter target is present).