Recent experiments with ultracold atoms in an optical lattice have realized cavity-mediated long-range interaction and observed the emergence of a supersolid phase and a density wave phase in additionto Mott insulator and superfluid phases. Here we consider theoretically the effect of uncorrelated disorderon the phase diagram of this system and study the two-dimensional Bose-Hubbard model with cavity-mediated long-range interactions and uncorrelated diagonal disorder. We also study the phase diagramof the extended Bose-Hubbard model with nearest-neighbor interactions in the presence of uncorrelateddiagonal disorder. The extended Bose-Hubbard model with nearest-neighbor interactions has been realizedin the experiment using dipolar interaction recently. With the help of quantum Monte Carlo simulationsusing the worm algorithm, we determine the phase diagram of those two models. We compare the phasediagrams of cavity-mediated long-range interactions with nearest-neighbor interactions. We show that twokinds of Bose glass phases exist: one with and one without density wave order. We also find that weakdisorder enhances the supersolid phase.