A crosswise-folding rocking chair having a chair frame and a chair cloth, wherein the chair frame includes two back tubes, two turnover bases, two armrest tubes, four armrest limit sleeves, four bushings, four step rivets, and two base frames, Each base frame is formed by a bent steel tube having a necked end, and the necked end is inserted into a non-necked end to form a closed polygonal frame. The two base frames are riveted together in an X shape, and the polygonal frames have lower arc segments and upper joint segments.