In a driving device of an artificial muscle module and a driving method thereof, the driving device includes a fluid tank unit, a fluid providing line, a fluid collecting line, a circulation pump unit, a temp control unit and a fluid distributing unit. The fluid providing line includes high temp and low temp water tanks. The fluid providing line connects a first side of the artificial muscle module to the fluid tank unit. The fluid collecting line connects a second side of the artificial muscle module to the fluid tank unit. The circulation pump unit is positioned at least one of the fluid providing line and the fluid collecting line. The temp control unit controls temperature of the fluid. The fluid distributing unit is positioned at the fluid collecting line, and distributes the fluid in the fluid collecting line.