The complete chem. shift tensor of the carbons in cryst. polyoxymethylene is detd. via the 2-dimensional dipolar correlated 13C chem. shift NMR technique. The orientation of the tensor is detd. by the local tetrahedral symmetry of the C2H2O2 unit and not by the overall symmetry of the helical chains. In an accompanying paper this shift tensor is used to study ultraslow motions in polyoxymethylene.