A man aged 54 suffering burns was taken to a south London hospital where his condition is understood to be critical after the fire in Streatham.
Police inquiries are underway after two bodies were found at the scene of the fire, on waste ground at Streatham High Road SW16, near the junction with Lewin Road.
Police were called to the scene at around 2.30am this morning.
London Fire Brigade extinguished the fire.
The Met say post-mortems will be scheduled in due course.
More top news
A man has died and two others have been injured in a stabbing outside Parsons Green Tube station.
Dany Cotton says referring to 'firemen' reinforces the stereotype that only men want to work in the fire service.
His heart completely stopped and one of his teammates performed CPR until paramedics arrived.