The present invention describes a method for the manufacture of dental prostheses where traditional artisanal or purely manual techniques are combined or merged with other more recent ones based on digital design, which comprises obtaining a digital image of the patient's mouth, digitally designing the dental pieces (1) and the gum (4) in a personalized way for each patient, manufacturing both parts separately, mounting them by tonguing-and-grooving and finally treating the prosthesis. Furthermore, the present invention also includes a dental prosthesis that comprises at least one dental piece (1) and a gum, where both are bonded by tonguing-and-grooving means.