  This talk reviews recent lattice results on the high $T$ electroweak phase
transition. A remarkably accurate picture emerges: a) the transition is of
first order for $m_H \lsim 80$GeV and vanishes for larger $m_H$; b) transition
temperature, latent heat and interface tension are known, as well as c) the
properties of the broken and symmetric phases. New developments in the
sphaleron rate calculations are discussed.
