A blast resistant window system includes a plurality of anchor members disposed in a wall and first and second mounting bodies at first and second opposite ends of an opening in the wall secured with the anchor members. The first mounting body has a first pair of spaced brackets connected thereto, and the second mounting body having a second pair of spaced brackets connected thereto. First and second energy dampening devices are disposed between the first and second pairs of spaced brackets. First and second restraining cables extend between the first and second mounting bodies across the inside surface of the window pane. These cables have first and second ends connected to the first and second pairs of spaced brackets. The cables are coupled together at the first and second opposite ends of the opening by the first and second energy dampening devices.