  We study light-ray operators constructed from the energy-momentum tensor in
$d$-dimensional Lorentzian conformal field theory. These include in particular
the average null energy operator. The commutators of parallel light-ray
operators on a codimension one light-sheet form an infinite-dimensional
algebra. We determine this light-ray algebra and find that the $d$-dimensional
(generalized) BMS algebra, including both the supertranslation and the
superrotation, is a subalgebra. We verify this algebra in correlation functions
of free scalar field theory. We also determine the infinite-dimensional algebra
of light-ray operators built from non-abelian spin-one conserved currents.
