The critical current densities of PbMo6S8 (PMS) tapes were measured as functions of an applied field of up to 31.1 T at 4.2 K and 1.6 K. Critical current densities at 20 T were 5 x 103 A/cm2 at 4.2 K and 1 x 104 A/cm2 at 1.6 K. Critical current densities at 14 T were almost linear with the inverse of average grain size. Optimal reaction conditions improved the critical current densities in low fields. Long PMS wires were successfully fabricated using a powder metallurgy process. The critical current densities of these wires were relatively high. Strain effects were also determined. Scanning electron microscopy was used for microstructural analysis.