The present invention mainly relates to a transverse displacement mechanism for a compact disc packaging machine includes a working table, an intermittent driving member, a motor, a rocking lever set, and a plurality of transverse displacement frames. The rocking lever set includes two parallel front curved rocking levers, two parallel rear curved rocking levers, two triangular first rotary blocks, two L-shaped second rotary blocks, and two parallel inner curved rocking levers. In operation, the front curved rocking levers, the rear curved rocking levers, and the inner curved rocking levers co-operate with each other to form an eddy state during operation. In such a manner, most of the components of the rocking lever set are hidden in the working table so that the operation of the rocking lever set can be mainly performed in the working table mainly, thereby greatly saving the space of the transverse displacement mechanism for a compact disc packaging machine.