DARKSIDE is a multi-stage program devoted to direct searches of Dark Matter particles with detectors based on double phase liquid Argon Time Projection Chamber. The DARKSIDE-50 setup is running underground at the Laboratori Nazionali del Gran Sasso. First it was operated with Atmospheric Argon and during that run (1422 +/- 67) kgxd of truly background-free exposure has been accumulated. Obtained data made it possible to set a 90% C.L. upper limit on the WIMP-nucleon cross section of 6.1 x 10(-44) cm(2) (for a WIMP mass of 100 GeV/c(2)). Presently the detector is filled with Underground Argon, which is depleted in Ar-39 by a factor of (1.4 +/- 0.2) x 10(3) with respect to Atmospheric Argon. Acquired so far (2616 +/- 43) kgxd (71 live days) in combination with the data from the Atmospheric Argon run give us the 90% C.L. upper limit on the WIMP-nucleon spin-independent cross section of 2.0 x 10(-44) cm(2) for a WIMP mass of 100 GeV/c(2). Up to date this is the best limit obtained with an argon target.