  A class $\mathfrak{M}$ of coarse spaces is called a variety if $\mathfrak{M}$
is closed under formation of subspaces, coarse images and products. We classify
the varieties of coarse spaces and, in particular, show that if a variety
$\mathfrak{M}$ contains an unbounded metric space then $\mathfrak{M}$ is the
variety of all coarse spaces.
