A stairway has a pair of stringers, mounted in inclined, spaced-apart, parallel relationship with at least one stair assembly, disposed in spanning relationship across the stringers. Each stringer has a top surface and a side surface. Each stair assembly has a pair of brackets and a tread with each end of the tread affixed to one of the brackets. Each bracket is mounted and affixed along a length of one of the stringers. Each of the brackets has a first and a second faces, which intersect in an angular manner. A flange is disposed perpendicularly from a side of the first face. When the bracket is mounted to the stringer, its first face and the flange are in abutting relationship with the respective top and side surface of the stringer. A further embodiment bracket has no flange extending from the first face.