The GERmanium Detector Array (GERDA) is a low background experiment at the Laboratori Nazionali del Gran Sasso (LNGS) of INFN designed to search for the rare neutrinoless double beta decay (0νββ) of ⁷⁶Ge. In the first phase (Phase I) of the experiment, high purity germanium diodes were operated in a "bare" mode and immersed in liquid argon. The overall background level of 10^-2 cts/(keV · kg · yr) was a factor of ten better than those of its predecessors. No signal was found and a lower limit was set on the half-life for the 0νββ decay of ⁷⁶Ge T_1/2^0ν> 2.1 × 10²⁵ yr (90% CL), while the corresponding median sensitivity was 2.4 × 10²⁵ yr (90% CL). A second phase (Phase II) started at the end of 2015 after a major upgrade. Thanks to the increased detector mass and performance of the enriched germanium diodes and due to the introduction of liquid argon instrumentation techniques, it was possible to reduce the background down to 10^-3 cts/(keV ·kg · yr). After analyzing 23.2 kg·yr of these new data no signal was seen. Combining these with the data from Phase I a stronger half-life limit of the ⁷⁶Ge 0νββ decay was obtained: T_1/2^0ν > 8.0 × 10²⁵ yr (90% CL), reaching a sensitivity of 5.8 × 10²⁵ yr (90% CL). Phase II will continue for the collection of an exposure of 100 kg ·yr. If no signal is found by then the GERDA sensitivity will have reached 1.4 × 10²⁶ yr for setting a 90% CL. limit. After the end of GERDA Phase II, the flagship experiment for the search of 0νββ decay of ⁷⁶Ge will be LEGEND. LEGEND experiment is foreseen to deploy up to 1-ton of ⁷⁶Ge. After ten years of data taking, it will reach a sensitivity beyond 10²⁸ yr, and hence fully cover the inverted hierarchy region.