Critical elements in coals and host rocks have attracted much attention due to their growing demand and rising economic significance. This research reports new data of elevated critical elements and mineralogical characteristics of the coals and host rocks from the Daping Mine, Yudongnan Coalfield, neighboring to the previously reported coal-hosted Li and rare earth elements plus yittrium (REY) ore deposit of the Donggou Mine in the same coalfield. The coal in the Daping Mine is mainly a medium-volatile bituminous coal and characterized by a low-ash yield (Ad = 13.08–30.32 %, 19.65 % on average) and a high-sulfur content (1.75–9.25 %, 3.43 % on average). Critical elements including Li, Ga, Nb, Ta, REY are enriched in the coal. Minerals in the Daping coal are mainly clay minerals (including illite, mixed layer of illite/smectite (I/S), kaolinite, and chamosite) and pyrite, and to a lesser extent, calcite, anatase, and marcasite, with traces of zircon, celestite, and baddeleyite. Lithium is mainly associated with illite, and Ga, Nb, Ta, and REY also have an inorganic affinity. The terrigenous materials of the Daping coal were from the intermediate-felsic rocks at the top of the Kangdian Upland rather than the basalts. Hydrothermal solutions also make a great contribution to the enrichment of critical elements and minerals. High-temperature solutions (>200 °C) may be responsible for the weakly negative Eu anomalies. The coal ashes in the Daping Mine have significant concentrations of Li2O (2583 ppm on average), Ga (83.5 ppm on average), (Nb, Ta)2O5 (143 ppm on average), and REO (oxides of REY, 1125 ppm on average), all of which are higher than their respective cut-off grades. Moreover, the floor strata are enriched in these critical elements. Thus, the coal ashes and floor strata are potential resources for extraction of these critical elements.