  We present a machine built for experiments with ultracold mixtures of
strontium and lithium atoms. The machine includes a science vacuum chamber and
the relevant laser systems for cooling and trapping the atoms. With this
machine, we realize a D2-line compressed magneto-optical trap (MOT) for
${^6}$Li and a narrow-linewidth 689-nm MOT for $^{84}$Sr, obtaining ~$10^9$
${^6}$Li atoms at 700 $\mu$K and ~$10^7$ $^{84}$Sr atoms at 1.8 $\mu$K. Such a
dual-species MOT provides an ideal starting point for realizing double
degenerate mixtures of $^6$Li and Sr atoms.
