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We obtain distances to 383 Galactic Wolf-Rayet (WR) stars from$\textit{Gaia}$ DR2 parallaxes and Bayesian methods, with a prior based onH$\mathrm{\scriptsize{II}}$ regions and dust extinction. Distances agree withthose from Bailer-Jones et al. for stars up to 2 kpc from the Sun, thoughdeviate thereafter due to differing priors, leading to modest reductions inluminosities for recent WR spectroscopic results. We calculate visual andK-band absolute magnitudes, accounting for dust extinction contributions andbinarity, and identify 187 stars with reliable absolute magnitudes. For WR andO stars within 2 kpc, we find a WR/O ratio of 0.09. The distances are used togenerate absolute magnitude calibrations and obtain the$\mathrm{\textit{Gaia}}$ colour magnitude diagram for WR stars. Average $v^{\rmWR}$-band absolute magnitudes for WN stars range from -3.6 mag (WN3-4) to -7.0mag (WN8-9ha), and -3.1 (WO2-4) to -4.6 mag (WC9), with standard deviations of$\sim$0.6 mag. Using H$\mathrm{\scriptsize{II}}$ region scale heights, weidentify 31 WR stars at large (3$\sigma$, |z|$\geq$156 pc) distances from themid-plane as potential runaways accounting for the Galactic warp, of which only4 involve WN8-9 stars, contrary to previous claims.

Unlocking Galactic Wolf-Rayet stars with $\textit{Gaia}$ DR2 I: Distances and absolute magnitudes