Nano-scopic holes which are distributed densely and uniformly were fabricated on $SiO_2$ surface. Self-assembling resists were used to produce a layer of uniformly distributed parallel poly methyl methacrylate (PMMA) cylinders in a polystyrene (PS) matrix. The PMMA cylinders were degraded and removed by acetic acid rinsing. Subsequently, PS nanotemplates were fabricated. The patterned holes of PS template were approximately $8{sim}30;nm$ wide, 40 nm deep, and 60 nm apart. The porous PS template was used as a dry etching mask to transfer the pattern of PS template into the silicon oxide thin film during reactive ion etching (RIE) process. The sizes of the patterned holes on $SiO_2$ layer were $9{sim}33;nm$. After pattern transfer by RIE, uniformly distributed holes of which size were in the range of $6{sim}22;nm$ were fabricated on Si substrate. Sizes of the patterned holes were controllable by PMMA molecular weight.