A polishing composition for a hard disk substrate includes alumina
particles, silica particles, and water. The volume median diameter of
secondary particles of the alumina particles measured by a laser beam
diffraction method is 0.1 to 0.8 .mu.m. The volume median diameter of
primary particles of the silica particles measured by transmission
electron microscope observation is 40 to 150 nm. The standard deviation
in number-basis particle size of the primary particles of the silica
particles measured by the transmission electron microscope observation is
11 to 35 nm. The polishing composition for a hard disk substrate can
preferably reduce the embedding of alumina abrasive grains into the
substrate without impairing the productivity.