This document discusses strategies for reducing methane emissions from dairy cattle through genetic selection. It outlines that current genetic improvement has already reduced methane intensity by selecting for increased production efficiency. Further reductions are possible by selecting for improved feed efficiency, health, fertility and longevity traits which increase lifetime productivity while reducing wastage. Direct selection for methane emissions is also discussed, but more research is needed to accurately estimate genetic parameters and associations with other traits. Genomic selection could help enable selection for difficult to measure traits like methane. Overall, the document advocates that genetic selection, especially for increased production efficiency and feed efficiency, offers a promising approach to sustainably reducing the environmental impact of dairy systems.