The invention provide a new class of silicone-containing prepolymers containing poly(oxyalkylene) blocks, polysiloxane blocks, and actinically-crosslinkable groups which are acryl groups, thiol groups, ene-containing groups or combinations thereof. A preopolymer of the invention is prepared in a one-pot procedure according to the Michael addition of thiol to electron deficient alkenes, such as α,β-unsaturated carbonyl compounds, without need for additional reaction step(s) to introduce actinically crosslinkable groups. The present invention is also related to silicone hydrogel contact lenses made from this class of silicone-containing prepolymers and to methods for making the silicone hydrogel contact lenses.