A power transmission apparatus for a vehicle includes: a first shift unit; a second shift unit; an electric motor connected to a rotating element of the first shift unit or the second shift unit so that the rotational speed changes in accordance with a gear-shift of the first shift unit or the second shift unit; and a control unit that controls at least one of start timings of inertia phases of the gear-shifts of the first and second shift units using the electric motor, when the gear-shifts of the first and second shift units are performed simultaneously and gear ratios of the first and second shift units are changed in opposite directions. With this control, in the simultaneous gear-shift, the gear-shift of one of the shift units is started and completed in a period from start of the gear-shift of the other shift unit until completion of this gear-shift.