This paper presents a gait analysis of the equilateral hexagonal model of hexapod robot. Mathematical analysis has been made on mobility, fault-tolerance, and stability. A comparison with the rectangular model of hexapod robot is also given, and it has shown that the hexagonal model shows better turning ability, a higher margin of stability during the fault-tolerant gait, and greater stride length in certain conditions. Index terms--Hexagonal model, hexapod robot, rectangular model, stability margin.