Dielectric strength refers to the ability of a material to withstand an electric field without breaking down or becoming conductive. It measures the maximum electric field a material can withstand before it starts to conduct electricity or "break down" and allow current to flow through it.
Another term for dielectric strength, dielectric breakdown strength (DBS), is the maximum electrical potential that a material can resist before the electrical current breaks through the material and the material is no longer an insulator. DBS is tested per ASTM D149 and measured in kV/mm or V/mil.