Process and apparatus for applying noise reducing elements to tyres for vehicle wheels. The apparatus includes a loading station of stacks of noise reducing elements, an extraction station of noise reducing elements from each stack placed downstream of the loading station, and a conveyor placed downstream of the extraction station and extending along a predefined path. The conveyor is configured for supporting and advancing in a row the noise reducing elements extracted from the stacks which are then applied to a radially inner surface of the tyres. The extraction of each of the noise reducing elements contemplates: retaining a first noise reducing element placed at the base of a stack; raising the remaining noise reducing elements of the stack from the first noise reducing element; moving away the first noise reducing element according to a set path; and lowering the remaining noise reducing elements of the stack.