We have used the Westerbork Synthesis Radio Telescope to detect HI 21 cm absorption at $z \sim 0.7645$ in the gravitational lens system towards PMN J0134-0931. The 21 cm profile has two broad components, with peak optical depths of $0.047 \pm 0.007$ and $0.039 \pm 0.007$, at heliocentric redshifts $0.76470 \pm 0.00006$ and $0.76348 \pm 0.00006$, respectively. The redshift of the stronger component matches that of CaII H and K absorption detected earlier. The absorption has a total velocity width of ~500 km s-1 (between nulls) and an equivalent width of $7.1 \pm 0.08$ km s-1. This would imply a total HI column density of $2.6 \pm 0.3 \times 10^{21}$ cm-2, for a spin temperature of 200 K and a covering factor of unity. The high estimated...