Progress M-32 (Russian: Прогресс M-32) was a Russian unmanned Progress cargo spacecraft, which was launched in July 1996 to resupply the Mir space station.

Progress M-32 launched on 31 July 1996 from the Baikonur Cosmodrome in Kazakhstan.

[2][4] The launch was postponed several times, primarily following problems with quality control during Soyuz-U production.

[5] Progress M-32 docked with the forward port of the Mir Core Module on 2 August 1996 at 22:03:40 UTC, and was undocked on 18 August 1996 at 09:33:45 UTC to make way for Soyuz TM-24.

[5][3] On 3 September 1996 at 09:35:00 UTC, Progress M-32 was redocked at the aft port of the Kvant-1 module of Mir, following the departure of Soyuz TM-23.