A black curable composition for forming a light-shielding color filter of solid-state imaging device is provided, which is capable of forming a pattern at low exposure dose even when containing a high concentration of an inorganic pigment, and preventing pattern defects. Also, a black curable composition for a wafer level lens is provided, which is capable of forming a cured film having excellent light shieldability and excellent in co-formability of both a large pattern and a fine pattern. The composition includes: an inorganic pigment; a copolymer containing a monomer having at least one of an amino group and a nitrogen-containing heterocyclic group, a monomer having at least one group of a carboxyl group, a phosphate group and a sulfonate group, and a macromonomer having a weight average molecular weight from 1,000 to 50,000; a polymerization initiator; a polymerizable compound; and an alkali-soluble resin having an unsaturated double bond.