an apparatus for manufacturing threaded caps comprises a plurality of compression molding assemblies which are arranged on a rotating carousel and comprise an upper male mold half and a lower female mold half . the male mold half comprises a tubular element , a sleeve guided coaxially to said tubular element , and a punch guided in the tubular element and having a helical slot for forming the thread of the cap . the punch enters the female mold half and produces , together with it , the cap through compression of a dose of plastic material deposited in the female mold half . after the spacing of the punch from the female mold half , the removal of the cap from the punch occurs by way of a removal device , which comprises a ring gear associated with the sleeve and provided with a collar in sliding contact on the punch , a rod which can slide axially in a seat of the carousel and supports a gear meshing with the ring gear and connected to a motor drive mechanism . the rod is axially connected to the sleeve and is controlled by a stationary actuation cam which is suitable to impart axial movements to the rod . the cam and the motor drive mechanism are synchronized so as to move axially and rotate the collar so as to produce the unscrewing of the cap from the punch .