Unlike the usual exo‐selective Pauson–Khand cyclization of allylic‐substituted 1,6‐enynes, the reaction of 1,6‐enynes with γ‐oxygenated α,β‐unsaturated sulfone structures occurs with high endo stereoselectivity. As the starting enynes are available in enantiopure form and the sulfonyl group can be easily eliminated, this procedure constitutes a stereocomplementary approach to the asymmetric synthesis of bicyclo[3.3.0]oct‐1‐en‐3‐ones [Eq. (1)].