A method for manufacturing a MEMS sound transducer for generating and/or detecting sound waves in the audible wavelength range and/or in the ultrasonic range, includes arranging at least one piezoelectric element on a support substrate. A diaphragm is formed on the at least one piezoelectric element. In forming the diaphragm, a flowable and curable polymer, which forms the diaphragm after curing, is at least partially cast around the at least one piezoelectric element. The invention further relates to the MEMS sound transducer formed by the method.