The invention discloses an insulation abnormity test apparatus and an application method thereof. The insulation abnormity test apparatus includes an insulation platform, wherein an insulation squarebox is fixed on the insulation platform; a first boosting terminal is arranged on any one side surface of the insulation square box and penetrates through the sidewall of the insulation square box; inflation ports are formed in other side surfaces of the insulation square box and penetrate through the side wall of the insulation square box; an opening is formed in the upper end surface of the insulation square box, and an insulation end cap matching the opening is set; a second boosting terminal is arranged at the middle part of the insulation end cap and penetrates through the middle part ofthe insulation end cap; the insulation abnormity test apparatus also includes a tinfoil paper bag; the tinfoil paper bag is arranged in the inner cavity of the insulation square box through the opening; and the upper end opening of the tinfoil paper bag and the insulation end cap are clamped at the opening edge in a coordinated manner. The insulation abnormity test apparatus can satisfy the voltage withstanding intensity test of abnormity insulating material, also can test the voltage withstanding intensity of insulation materials with structured shape, and can satisfy the voltage withstandingintensity test of insulation materials in various shapes so as to reduce the cost of testing the voltage withstanding intensity of insulation materials for an enterprise.