Expedition-1 docked to ISS November 2, 2000. Since then ISS has been continuously occupied... except for brief periods when the crew undocked in order to relocate their Soyuz return vehicle from one docking port to another. Per the thread below on collectSPACE, ISS was left unoccupied for the following durations [mm:ss]:
Soyuz TM-31 ... 02/24/2001 ... [29:04]
Soyuz TM-31 ... 04/18/2001 ... [20:30]
Soyuz TM-32 ... 10/19/2001 ... [16:00]
Soyuz TM-33 ... 04/20/2002 ... [21:35]
Soyuz TMA-5 ... 11/29/2004 ... [20:48]
Soyuz TMA-6 ... 07/19/2005 ... [29:49]
Soyuz TMA-7 ... 11/18/2005 ... [19:38]
Soyuz TMA-7 ... 03/20/2006 ... [22:01]
Soyuz TMA-9 ... 10/10/2006 ... [20:10]
Soyuz TMA-9 ... 03/29/2007 ... [24:31]
Soyuz TMA-10 .. 09/27/2007 ... [27:10]
Since then the ISS crew size has been expanded. There have been subsequent Soyuz port relocations (and will be future port relocations of Crew Dragon and Starliner) but none have left/will leave the station completely unoccupied. So the "true" start of permanent occupation of ISS was 9/27/2007.
Collectspace Link
All quoted from rendezvous wizard Jorge Frank's Facebook post. (no link, private group)