The catalogue includes all probable white dwarf and degenerate stars found in the Proper Motion and Faint Blue Star Surveys conducted by W.J. Luyten. The catalogue was originally published in two booklets, one in 1970 (3035 entries), and the part II in 1977 (3511 entries). As a guideline for the inclusion of stars into this catalogue, the author has used stars which present minimal values of the combined proper motions - magnitude quantity H defined by H = m + 5 + 5 log {mu} ({mu} is the proper motion in arcsec/yr) which show the minimal H values according to the color class: b 13.5 f 15.5 g-k 17.7 a 14.4 g 17.0 k 18.3 with the following exceptions: a) evidence from photoelectric colors or spectra indicate the object is a degenerate star (e.g. LB 3303) or b) the object is close to the antapex (which is the case for many stars at alpha=21h and delta =+42{deg}, plate 234). The bluest stars (color classes b or a) will probably prove to be genuine white dwarfs; probably no more than 40% of the yellower objects (color class k) will prove to be genuine degenerates.