A power transmission control apparatus for a vehicle c has a plurality of fork shafts coupled with “sleeves engageable with free-rotating gears”, including first and second fork shafts. When both the first and second fork shafts are in neutral positions, the first and second fork shafts are not coupled in the axial direction so that, while one fork shaft is maintained in its neutral position, the other fork shaft is movable by an actuator from its neutral position to its meshing position. When the one fork shaft is in its neutral position and the other fork shaft is in its meshing position, the first and second fork shafts are coupled in the axial direction so that, when the one fork shaft is moved from its neutral position to its meshing position by the actuator, the other fork shaft is simultaneously moved from its meshing position to its neutral position.