Hilbert field may refer to:
The Hilbert field, the minimal ordered Pythagorean field A Hilbert field is one with minimal Kaplansky radical Hilbert class field, the maximal abelian unramified extension of a number field Hilbert–Speiser field, a field with a normal integral basis Hilbertian field, a field supporting a Hilbertian variety, one which is not "thin"