Process and installation for the production of ultrapure nitrogen by distillation of air, wherein the air to be treated is separated in a first column (6) into nitrogen at the head and liquid at the bottom rich in oxygen. The nitrogen in the head is used to circulate in a refrigeration cycle, a flow of high pressure cycle nitrogen being purified from hydrogen in a second column (7) comprising a bottom vaporizer (11) which ensures the condensation of this nitrogen before its introduction into this second column, and a head condenser (10) cooled by the bottom liquid of the first column (6). The ultra-pure production nitrogen is withdrawn (at 24) from the bottom of the second column (7), and a second high pressure cycle nitrogen flow is condensed (in 10; 10A) by vaporization of the bottom liquid of the first column (6). At least a portion of the nitrogen condensed by vaporization of bottom liquid of the first column (6) is purified of hydrogen in the second column (7), and at least a portion of the nitrogen condensed by vaporization of bottom liquid in the first column (6) is introduced as reflux into the head of the first column (6).