We present new three-dimensional (3D) interstellar dust reddening maps of the Galactic plane in three colours, EpG´K S q, EpG BP´GRP q and EpH´K S q. The maps have a spatial angular resolution of 6 arcmin and covers over 7000 deg 2 of the Galactic plane for Galactic longitude 0˝ă l ă 360˝and latitude |b| ă 10˝. The maps are constructed from robust parallax estimates from the Gaia Data Release 2 (Gaia DR2) combined with the high-quality optical photometry from the Gaia DR2 and the infrared photometry from the 2MASS and WISE surveys. We estimate the colour excesses, EpG´K S q, EpG BP´GRP q and EpH´K S q, of over 56 million stars with the machine learning algorithm Random Forest regression, using a training data set constructed from the large-scale spectroscopic surveys LAMOST, SEGUE and APOGEE. The results reveal the large-scale dust distribution in the Galactic disk, showing a number of features consistent with the earlier studies. The Galactic dust disk is clearly warped and show complex structures possibly spatially associated with the Sagittarius, Local and Perseus arms. We also provide the empirical extinction coefficients for the Gaia photometry that can be used to convert the colour excesses presented here to the line-of-sight extinction values in the Gaia photometric bands.