A rocking exercise apparatus is provided with a motor and a driving unit for translating a torque of an output rotary shaft of the motor into rocking movements of a seat seated by a user. This driving unit includes a first supporter for supporting a movable mount provided on a base such that the movable mount can make reciprocating pivotal movements about a longitudinal shaft inclined with respect to longitudinal direction; a second supporter for supporting a pedestal fixedly attached to the seat such that the pedestal can make reciprocating pivotal movements about transverse shafts provided in the movable mount via connection links; a first driving portion for translating the rotary motion of the output rotary shaft of the motor into reciprocating linear movements of the pedestal along longitudinal direction and reciprocating pivotal movements about a transverse axis via the second supporter; and a second driving portion for translating the rotary motion of the output rotary shaft of the motor into reciprocating pivotal movements of the pedestal about a longitudinal axis and reciprocating pivotal movements about a vertical axis via the first supporter. An angle of inclination of the movable mount with respect to a center axis of the reciprocating pivotal movements in at least either one of the first and second supporters is changeable. Accordingly, the rocking exercise apparatus can give a larger fitness effect by complicating the movements while being small and inexpensive.