The theory of the parity-nonconserving alpha decays from the 2~ (8.88 MeV), 0" (10.937 MeV), and 3 + (11.05 MeV) O 16 levels is developed. Using the weak nucleon-nucleon interaction of Blin-Stoyle and Herczeg and known O 16 wave functions modified by short-range correlations via the Bethe-Golds tone equation, the irregular alpha widths have been related to known regular widths. The influence by the hard core of the strong interaction has been studied.Measurements of alpha particles produced by the parity-nonconserving weak interaction are under way. 1 Although having the disadvantage of being second order in the weak-coupling constant G 9 there are also some advantages over the polarization measurements, 2 "" 4 which are of first order in G. Some of the corresponding irregular widths are as small as 10~1 3 keV. Yet with experimental techniques presently available one is able to measure this small quantity with reasonable accuracy-better than just the order of magnitude. The theory is relatively simple and reliable, since the irregular widths r irr can be related to known regular widths r reg . Also, the proportionality to G 2 yields a stronger dependence of the result on the details of the weak interaction, such that one possibly can decide whether the conserved-vector-current (CVC) theory is valid or not.We have computed the admixtures of "wrong parity" to the O 16 states 2" at 8.88 MeV and 0" at 10.937 MeV (and estimated the same for the 3 + state at 11.05 MeV). This admixture, e.g., to the state 8.88, is given by with (z,2lF w^| 8.88 ? 2-> £,.-£(8.8)Now, using the basic formula 5 for the a?-decay width[with R~ sum of daughter and a -particle radii, P L (E,R) = penetrability for angular momentum L], one obtains the irregular width :^lE^/| (4)