A cutting frame for use in a curd vat, which cutting frame comprises substantially parallel frame girders, between which is situated a lattice formed from longitudinal knives and transverse knives, of which the transverse knives are mounted on the frame girders by welding and have aligned openings, in which the longitudinal knives are received, wherein the longitudinal knives are strip-shaped knives having a length dimension and a width dimension and having at least one sharp cutting edge extending in the length dimension, which cutting edge is formed by at least one obliquely ground cutting face, wherein the width of the longitudinal knives is smaller than the corresponding dimension of the openings of the transverse knives, and wherein means are provided for substantially preventing displacement of the longitudinal knives in the length dimension, wherein at least a number of openings of at least a number of transverse knives is provided with supporting elements which substantially lock the longitudinal knives both in lateral direction and in the width dimension of the longitudinal knives, while the supporting elements leave the sharp cutting edge clear.