Blast resistant prefabricated wall panels contain at least one panel consisting of two structural boards having a thermoset resin-impregnated fiber reinforcing layer therebetween and extending from sides of the panel, the extension wrapped at least partially around metal sole and top plates of a metal sole plate, top plate, and stud construction. The panels are capable of resisting explosive blasts without forming secondary projectiles, and are preferably attached to a building structure by energy absorbing deformable brackets.