Tents pitched on a balcony and in the corner of a living room are being advertised to renters from $390 a month in one of the more outrageous signs of Melbourne's desperate rental market.

The listings were posted on two classified websites in recent weeks.

One of the tents, advertised for $130 a week, is part of an apparent illegal boarding house at the Lacrosse building in Docklands, the apartment tower currently at the centre of a flammable cladding controversy.

The Korean-language listing said the two-bedroom apartment at 673 La Trobe Street was shared between six people.

Photos show part of the living room cordoned off into a bedroom space with a red screen and, in another area, a yellow tent next to a desk and what appears to be a fabric wardrobe.