Cartilage has been constructed using biodegradable electrospun polymeric scaffolds seeded with chondrocytes or adult mesenchymal stem cells. More particularly engineered cartilage has been prepared where the cartilage has a biodegradable and biocompatible nanofibrous polymer support prepared by electrospinning and a plurality of chondocytes or mesenchymal stem cells dispersed in the pores of the support. The tissue engineered cartilages of the invention possess compressive strength properties similar to natural cartilage. Methods of preparing engineered tissues, including tissue engineered cartilages, are provided in which an electrospun nanofibrous polymer support is provided, the support is treated with a cell solution and the polymer-cell mixture cultured in a rotating bioreactor to generate the cartilage. The invention provides for the use of the tissue engineered cartilages in the treatment of cartilage degenerative diseases, reconstructive surgery, and cosmetic surgery.