A framework system for buildings and other structures having a plurality of structural columns each having a wall structure of generally circular cross-sectional configuration defining an internal chamber and having a number of pairs of elongate external undercut grooves extending the length of the column and defining internal elongate grooves also extending the length of the column. Structural framework members extend between adjacent ones of the structural columns and define opposed ends. Gripper members are mounted to the ends of each of the structural framework members and each have a pair of spaced hook-like lateral retainer flanges disposed in retaining engagement within the elongate external undercut grooves. A structural member extends the length of the internal chamber and has radially oriented structural flanges each being received within one of the internal elongate grooves.