A pneumatic tire for ice-bound or snow-covered roads, which has fine grooves formed in a tread surface, thereby improving brake and drive performance on ice-bound roads in early periods of wear. This pneumatic tire for ice-bound or snow-covered roads has its tread partitioned into a plurality of lands, these lands being formed with sipes, wherein the tread surface at the lands is formed with a plurality of fine grooves shallower than the sipes, the edges of these fine grooves being curved. Further, the width of the openings of the fine grooves is larger than the width of the bottoms thereof. Further, the angle of the fine grooves with the circumferential direction of the tire is 42 to 60 degrees.