Emergency services were called Woodley Caravan Park, Arbroath, at 9.50pm on Tuesday.
The blaze was extinguished by firefighters from the Scottish Fire and Rescue Service.
Police said the body of a man was discovered in the caravan and he was pronounced dead at the scene by the Scottish Ambulance Service.
A joint police and fire investigation will now take place to establish the cause.
A spokesman for the fire service said: “The Scottish Fire and Rescue Service was alerted at 9.49pm on Tuesday to reports of a fire within a caravan park in Arbroath.
“Operations control mobilised three appliances to the scene, where firefighters extinguished the fire.
“Crews will remain in attendance until the area is made safe.”