  We obtain plane fronted gravitational waves (PFGWs) in arbitrary dimension in
Lovelock gravity, to any order in the Riemann tensor. We exhibit pure gravity
as well as Lovelock-Yang-Mills PFGWs. Lovelock-Maxwell and $pp$ waves arise as
particular cases. The electrovac solutions trivially satisfy the
Lovelock-Born-Infeld field equations. The peculiarities that arise in
degenerate Lovelock theories are also analyzed.
