Causes of a burning feeling in the knee include burns to the skin surface and arthritis, such as ankylosing spondylitis and rheumatoid arthritis, states Healthgrades. Other causes include bone tumors, peripheral neuropathy and peripheral artery disease.
Ankylosing spondylitis is an inflammatory disease in which vertebrae in the spine fuse together, making the spine less flexible, while rheumatoid arthritis is characterized by painful, swelling joints, causing bone erosion and joint deformity, explains Mayo Clinic.
Damage to the leg nerves, or peripheral neuropathy, can cause a burning feeling in the knee, as can narrowing of the arteries in the legs, known as peripheral artery disease, notes Healthgrades. Burns to the skin surface, such as chemical burns and sunburns, can also cause a burning sensation.