The towing capacity of a 2004 Chevrolet Suburban varies significantly depending on the specific engine and configuration. There wasn't a single towing capacity for the entire model year. You'll need to
check the sticker on the driver's side doorjamb or
consult your owner's manual. This sticker will give the exact towing capacity for *your specific* Suburban.
Generally speaking, a 2004 Suburban could tow anywhere from 7,000 to 9,000 lbs, but this is just a broad range. The engine (5.3L or 8.1L) and whether it has the optional towing package will greatly influence the actual number.