In a clearance-free supporting structure for a pivotal axle applicable to an operation device of a multi-stage automatic transmission, at least one pair of first projections is formed on a housing between which the pivotal axle is inserted to enable a pivotal movement of the pivotal axle, a pair of left and right truncated cone shaped portions are formed on the pivotal axle, at least one pair of second projections is formed on the housing to graspably contact with the pair of left and right truncated cone shaped portions to enable the pivotal movement of the pivotal axle, at least one recessed portion formed on the housing at a position placed in proximity to a base portion of each of the pair of first projections to enable a slidable contact thereof with the pivotal axle, and a biasing device biases the pivotal axle to be pressed toward the recessed portion.
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