An invention concerning the electrode structure of a gas laser device is disclosed. In the outer peripheral part of a discharge gas circulating hole (32) provided in the central part of an upper gas stream side one (16) of electrodes (14) and (16) disposed at both the ends of a discharge tube (8), a plurality of gas circulating apertures (34) are further provided over the entire periphery. A glow discharge portion in the discharge tube (8) is fined towards the central part of the tube by a gas which passes through the outer-peripheral gas circulating apertures (34). Thus, the laser intensity profile becomes the Gaussian distribution, and the laser generation efficiency is enhanced.