A crawler traveling apparatus comprising: a crawler belt, the crawler belt including a belt body made of a rubber material and cored bars embedded in the crawler belt at a predetermined pitch along a belt circumference direction, each of the cored bars having a pair of right/left track-wheel-guiding cored bar projections, each of the cored bar projections being projected from an intermediate portion of the cored bar in a belt width direction toward an inner circumference face of the crawler belt; a drive sprocket for providing the crawler belt with a rotational drive force along the belt circumference direction; an idler wheel for guiding the inner circumference face of the crawler belt; and a track wheel; the crawler belt having a track wheel tracking face formed on a portion of an inner circumference face of the belt body located laterally outside the right/left cored bar projection of the crawler belt, for allowing rolling of the track wheel on the track wheel tracking face; wherein an anti-run-off guide is provided between the right/left pair of the cored bar projections for preventing run-off of the crawler belt; and wherein the anti-run-off guide has a proximity restricting portion formed thereon, the proximity restricting portion being configured to come into contact with the right/left cored bar projections to prevent a lower edge of the anti-run-off guide from coming into contact with the inner circumference face of the roller belt, characterized in that the drive sprocket includes driving pawl members; the crawler belt has engaging recessed portions provided on an inner circumference face thereof for coming into engagement with the driving pawl members, each of the engaging recessed portions being located between a fore/aft pair of the cored bars in the belt circumference direction and formed elongate along the belt width direction, and pressure receiving block portions formed of rubber being interposed between the respective fore/aft pair of the cored bars in the belt circumference direction; wherein the drive sprocket further includes a disc-shaped member having an outer circumference thereof fitted into a space between the right/left pair of the cored bar projections, and wherein the driving pawl members of the drive sprocket are configured to come into engagement with the engaging recessed portions which are formed in the crawler belt with a predetermined interval on an outer circumference of the disc-shaped member. a crawler belt, the crawler belt including a belt body made of a rubber material and cored bars embedded in the crawler belt at a predetermined pitch along a belt circumference direction, each of the cored bars having a pair of right/left track-wheel-guiding cored bar projections, each of the cored bar projections being projected from an intermediate portion of the cored bar in a belt width direction toward an inner circumference face of the crawler belt; a drive sprocket for providing the crawler belt with a rotational drive force along the belt circumference direction; an idler wheel for guiding the inner circumference face of the crawler belt; and a track wheel; the crawler belt having a track wheel tracking face formed on a portion of an inner circumference face of the belt body located laterally outside the right/left cored bar projection of the crawler belt, for allowing rolling of the track wheel on the track wheel tracking face; wherein an anti-run-off guide is provided between the right/left pair of the cored bar projections for preventing run-off of the crawler belt; and wherein the anti-run-off guide has a proximity restricting portion formed thereon, the proximity restricting portion being configured to come into contact with the right/left cored bar projections to prevent a lower edge of the anti-run-off guide from coming into contact with the inner circumference face of the roller belt, characterized in that the drive sprocket includes driving pawl members; the crawler belt has engaging recessed portions provided on an inner circumference face thereof for coming into engagement with the driving pawl members, each of the engaging recessed portions being located between a fore/aft pair of the cored bars in the belt circumference direction and formed elongate along the belt width direction, and pressure receiving block portions formed of rubber being interposed between the respective fore/aft pair of the cored bars in the belt circumference direction; wherein the drive sprocket further includes a disc-shaped member having an outer circumference thereof fitted into a space between the right/left pair of the cored bar projections, and wherein the driving pawl members of the drive sprocket are configured to come into engagement with the engaging recessed portions which are formed in the crawler belt with a predetermined interval on an outer circumference of the disc-shaped member.