PROBLEM TO BE SOLVED: To improve workability of an offset working machine.SOLUTION: A ridging machine 1 used by being mounted in a traveling machine body has: a working section 4 which can execute an operation at a position offset from the vehicle width direction central part of the traveling machine body a connection section 3 which connects the working section 4 to the traveling machine body so that the working section 4 can move to the vehicle width direction of the traveling machine body and a storage section 61 which stores an operator offset position 72 of the working section 4 in the vehicle width direction which is set by an operator. The working section 4 moves to the operator offset position 72, when an operator offset position 72 is stored in the storage section 61.