Laser speckles provide a unique possibility to create fully controlled two-dimensional disorder potentials for neutral atoms.  This type of disorder has exponential probability distribution and finite spatial  correlation length.  In this talk, I shall present our recent results on the superfluidity and Bose-Einstein condensation of interacting bosons in the presence of the laser speckles at zero temperature obtained using diffusion Monte Carlo method in continuum as well as Gross-Pitaevskii equation and Bogolubov theory.