A control handle module includes a flush handle, a first lever and a second lever. The flush handle has an extension. The first lever is secured on the extension. The first lever includes a body section, a fixing portion and a pivot base. The pivot base has an arcuate periphery which is provided with a first stop rib and a second stop rib. The second lever has a first shank and a second shank. The second shank has a resting face and a pivot ear. The pivot ear is pivotally connected with the pivot base. The resting face rests on the first stop rib or the second stop rib.