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In this paper, a constrained boundary integral equation is presented for the analysis of three‐dimensional magnetostatic problems. This formulation uses a simple layer of charge on the interface surface to represent the permeable object. A constraining condition that sets the total integrated surface charge to zero is used to make this formulation unique. In addition, a method of generating exact analytical solutions for use in validating the boundary element code is presented. A test comparison using this method will be shown.