A child motion apparatus includes a base frame assembly for providing standing support on a floor, a column assembled with the base frame assembly, a support arm extending generally horizontally relative to the column and having a first and a second end portion, a child seat connected with the second end portion of the support arm, a vertical actuating mechanism supported by the base frame assembly and operable to drive the column to slide upward and downward, and a horizontal actuating mechanism operable to drive the support arm to oscillate generally horizontally relative to the column. The first end portion of the support arm is assembled with the column and has a channel, and the horizontal actuating mechanism includes a driving part movable along a circular path and guided for sliding movement along the channel at the first end portion of the support arm.