A silica-based fine particle dispersion sol which comprises silica-based fine particles having a negative charge on the surface and has a pH in an acidic region from 3.0 to 6.0, wherein the silica-based fine particles are chain particles having an average particle diameter in the range of 5 to 50 nm as calculated by the equation (L +D)/2 wherein L is the longitudinal length and D is the lateral length measured with respect to a transmission electron micrograph, and the surface of the silica-based fine particles which has been modified with aluminum comprises a composite oxide of silica-alumina, and the amount of the modification by aluminum is in the range of 0.05×10−6 to 2.0×10−6 mol/m2 in terms of Al2O3 per unit surface area of the silica-based fine particles.